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Finding the Third Proportional to 37,715 and 81,691

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Solution

The third proportional to 37,715 and 81,691 is: 176,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,715 : 81,691 = 81,691 : x
  2. Step 2: Convert to fraction form
    37,715/81,691 = 81,691/x
  3. Step 3: Cross multiply
    37,715x = 81,691 × 81,691
  4. Step 4: Simplify right side
    37,715x = 6,673,419,481
  5. Step 5: Solve for x
    x = 6,673,419,481/37,715
  6. Step 6: Final answer
    x = 176,943.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.