The Board must issue a license, without written examination, to a qualified applicant who is licensed to practice veterinary medicine in another state which has a reciprocal licensing agreement with this State if the applicant furnishes satisfactory proof that he is a graduate of an approved veterinary college, is in good standing in his respective state, and holds a license to practice veterinary medicine in that state. No person may be licensed under this section except upon proof that he has taken and passed a written examination in at least one of the states in which he is licensed.

The Board shall enter into reciprocal licensing agreements with other states having substantially equivalent licensing requirements.