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Finding the Third Proportional to 39,776 and 61,624

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Solution

The third proportional to 39,776 and 61,624 is: 95,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,776 : 61,624 = 61,624 : x
  2. Step 2: Convert to fraction form
    39,776/61,624 = 61,624/x
  3. Step 3: Cross multiply
    39,776x = 61,624 × 61,624
  4. Step 4: Simplify right side
    39,776x = 3,797,517,376
  5. Step 5: Solve for x
    x = 3,797,517,376/39,776
  6. Step 6: Final answer
    x = 95,472.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.