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Finding the Third Proportional to 39,657 and 61,374

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Solution

The third proportional to 39,657 and 61,374 is: 94,983.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,657 : 61,374 = 61,374 : x
  2. Step 2: Convert to fraction form
    39,657/61,374 = 61,374/x
  3. Step 3: Cross multiply
    39,657x = 61,374 × 61,374
  4. Step 4: Simplify right side
    39,657x = 3,766,767,876
  5. Step 5: Solve for x
    x = 3,766,767,876/39,657
  6. Step 6: Final answer
    x = 94,983.68

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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.