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Finding the Third Proportional to 12,725 and 19,465

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Solution

The third proportional to 12,725 and 19,465 is: 29,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725 : 19,465 = 19,465 : x
  2. Step 2: Convert to fraction form
    12,725/19,465 = 19,465/x
  3. Step 3: Cross multiply
    12,725x = 19,465 × 19,465
  4. Step 4: Simplify right side
    12,725x = 378,886,225
  5. Step 5: Solve for x
    x = 378,886,225/12,725
  6. Step 6: Final answer
    x = 29,774.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.