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