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Finding the Third Proportional to 39,976 and 62,172

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Solution

The third proportional to 39,976 and 62,172 is: 96,691.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,976 : 62,172 = 62,172 : x
  2. Step 2: Convert to fraction form
    39,976/62,172 = 62,172/x
  3. Step 3: Cross multiply
    39,976x = 62,172 × 62,172
  4. Step 4: Simplify right side
    39,976x = 3,865,357,584
  5. Step 5: Solve for x
    x = 3,865,357,584/39,976
  6. Step 6: Final answer
    x = 96,691.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.