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                                                                    EXHIBIT 23.3
 
                         INDEPENDENT AUDITORS' CONSENT
 
   
     We consent to the use in this Amendment No. 2 to Registration Statement No.
333-08737 of Cox Radio, Inc. of our report dated July 19, 1996 (relating to the
financial statements of Infinity Holdings Corp. of Orlando), appearing in the
Prospectus, which is part of this Registration Statement.
    
 
     We also consent to the reference to us under the heading "Experts" in such
Prospectus.
 
                                          DELOITTE & TOUCHE LLP
 
Atlanta, Georgia
   
September 4, 1996