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Finding the Third Proportional to 38,605 and 82,561

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Solution

The third proportional to 38,605 and 82,561 is: 176,565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,605 : 82,561 = 82,561 : x
  2. Step 2: Convert to fraction form
    38,605/82,561 = 82,561/x
  3. Step 3: Cross multiply
    38,605x = 82,561 × 82,561
  4. Step 4: Simplify right side
    38,605x = 6,816,318,721
  5. Step 5: Solve for x
    x = 6,816,318,721/38,605
  6. Step 6: Final answer
    x = 176,565.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.