Here's what rhymes with nonprostatic.
static prostatic hepatic somatic thematic traumatic ecstatic erratic asthmatic fanatic operatic prismatic spermatic dramatic automatic dogmatic emphatic pragmatic schematic hydrostatic lymphatic metastatic pneumatic rheumatic chromatic intrahepatic orthostatic stigmatic undramatic nondramatic photostatic aerobatic homoeostatic systematic aromatic climatic autocratic charismatic electrostatic enzymatic aliphatic cinematic emblematic monochromatic achromatic homeostatic idiomatic magmatic muriatic phlegmatic theocratic zygomatic acrobatic schismatic astigmatic numismatic thermostatic democratic diplomatic aristocratic bureaucratic problematic pancreatic symptomatic enigmatic axiomatic kinematic programmatic psychosomatic posttraumatic unproblematic unsystematic nondemocratic panchromatic plutocratic undiplomatic unemphatic asymptomatic idiosyncratic melodramatic paradigmatic diagrammatic diaphragmatic technocratic undemocratic antidemocratic epigrammatic meritocratic semiautomatic unidiomatic Words that almost rhyme with nonprostatic
magic tragic sporadic pelagic syllabic apparatchik priapic nomadic monosyllabic disyllabic polysyllabic panic tactic spastic tannic traffic plastic ceramic drastic frantic lactic manic oceanic synaptic phallic italic satanic mastic tyrannic dynamic organic classic elastic romantic fabric fantastic gastric gigantic graphic metallic semantic thoracic catholic didactic dynastic stochastic cephalic nostalgic pedantic presynaptic thalamic aplastic clastic titanic isobaric slapstick ataxic botanic malefic baldric psychiatric monastic scholastic volcanic barbaric hemorrhagic mechanic pediatric prophylactic sarcastic galactic geriatric glutamic messianic ophthalmic panoramic postsynaptic tympanic gymnastic haemorrhagic heraldic psychopathic splanchnic bimetallic bombastic orgiastic paediatric unromantic matchstick geographic inorganic photographic inelastic neoplastic aerodynamic climactic ecclesiastic galvanic telegraphic transatlantic angiographic hyperplastic hypoplastic intrathoracic lithographic orthographic protoplasmic thermoplastic tomographic chiropractic nonmetallic biographic neoclassic osteopathic periphrastic sycophantic transoceanic demographic enthusiastic cytoplasmic ethnographic hypothalamic thermodynamic hemodynamic hydrodynamic pornographic psychodynamic topographic anaphylactic holographic viscoelastic oceanographic stenographic typographic unenthusiastic calligraphic intergalactic phonographic xerographic nonelastic radiographic bibliographic chromatographic endoplasmic stratigraphic cartographic anticlimactic autobiographic choreographic interscholastic seismographic crystallographic iconoclastic iconographic lexicographic overenthusiastic cinematographic electrocardiographic electroencephalographic