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Finding the Third Proportional to 37,427 and 80,791

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Solution

The third proportional to 37,427 and 80,791 is: 174,397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,427 : 80,791 = 80,791 : x
  2. Step 2: Convert to fraction form
    37,427/80,791 = 80,791/x
  3. Step 3: Cross multiply
    37,427x = 80,791 × 80,791
  4. Step 4: Simplify right side
    37,427x = 6,527,185,681
  5. Step 5: Solve for x
    x = 6,527,185,681/37,427
  6. Step 6: Final answer
    x = 174,397.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.