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Finding the Third Proportional to 38,031 and 82,542

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Solution

The third proportional to 38,031 and 82,542 is: 179,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,031 : 82,542 = 82,542 : x
  2. Step 2: Convert to fraction form
    38,031/82,542 = 82,542/x
  3. Step 3: Cross multiply
    38,031x = 82,542 × 82,542
  4. Step 4: Simplify right side
    38,031x = 6,813,181,764
  5. Step 5: Solve for x
    x = 6,813,181,764/38,031
  6. Step 6: Final answer
    x = 179,148.11

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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.