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Finding the Third Proportional to 37,737 and 56,691

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Solution

The third proportional to 37,737 and 56,691 is: 85,164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,737 : 56,691 = 56,691 : x
  2. Step 2: Convert to fraction form
    37,737/56,691 = 56,691/x
  3. Step 3: Cross multiply
    37,737x = 56,691 × 56,691
  4. Step 4: Simplify right side
    37,737x = 3,213,869,481
  5. Step 5: Solve for x
    x = 3,213,869,481/37,737
  6. Step 6: Final answer
    x = 85,164.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.