The exchange interactions J AA (x) and J AB (x) are calculated by using a probability law for the Co x Zn 1−x Cr 2 O 4 . The magnetic properties of a diluted ferromagnetic spinels Co x Zn 1−x Cr 2 O 4 system are investigated by using the high-temperature series expansions combined with the Padé approximants. The magnetic phase diagram, i.e., T N versus x, and the critical exponent associated with the magnetic susceptibility (γ ) are deduced.Keywords High-temperature series expansions · Padé approximant · Exchange interaction · Magnetic phase diagram · Critical exponent R. Masrour ( ) Laboratory of Materials, Processes, Environment and Quality,