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A ratio a:b is simplified by dividing both terms by GCF(a,b). Equivalent ratio: a:b = ka:kb for any k. To solve a:b = c:x, cross-multiply: x = bc/a. Ratios appear in scale models, cooking recipes, map scales, financial analysis (P/E ratio), and mixture problems. The golden ratio (≈1.618:1) appears in art, architecture, and nature.
Solve a : b = c : x → x = bc/a
x = 15