Secretarial rhymes with:
actuarial, adversarial, aerial, ariel, burial, malarial, mariel, actuarial, adversarial, advertorial, aerial, agroindustrial, ambassadorial, antibacterial, arboreal, ariel, arterial, bacterial, biomaterial, burial, cereal, conspiratorial, correale, curatorial, dictatorial, directorial, editorial, endometrial, equatorial, ethereal, extraterrestrial, extraterritorial, flonorial, gabriel, gubernatorial, immaterial, immemorial, imperial, industrial, israel, janitorial, kasriel, kimbriel, magisterial, malarial, managerial, mariel, material, memorial, mercurial, ministerial, morial, murial, muriel, nomenclatorial, pictorial, professorial, prosecutorial, raptorial, reportorial, sartorial, senatorial, serial, terrestrial, territorial, tutorial, venereal, vitriol