Relations among the baryon magnetic and transition magnetic moments are derived in the 1/N(c) expansion. Relations which hold to all orders etc. in SU(3) breaking and to leading and first subleading orders in the 1/N(c) expansion are obtained. Additional relations are found which are valid up to SU(3) breaking at first subleading order in the 1/N(c) expansion. The experimental accuracy of these relations fits the pattern predicted by the 1/N(c) expansion. The predictions of the 1/N(c) expansion are compared in detail with those of the non-relativistic quark model. The 1/N(c) expansion explains why certain quark model relations work to greater accuracy than others.