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Finding the Third Proportional to 39,320 and 62,542

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Solution

The third proportional to 39,320 and 62,542 is: 99,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,320 : 62,542 = 62,542 : x
  2. Step 2: Convert to fraction form
    39,320/62,542 = 62,542/x
  3. Step 3: Cross multiply
    39,320x = 62,542 × 62,542
  4. Step 4: Simplify right side
    39,320x = 3,911,501,764
  5. Step 5: Solve for x
    x = 3,911,501,764/39,320
  6. Step 6: Final answer
    x = 99,478.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.