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Finding the Third Proportional to 38,776 and 80,432

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Solution

The third proportional to 38,776 and 80,432 is: 166,837.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,776 : 80,432 = 80,432 : x
  2. Step 2: Convert to fraction form
    38,776/80,432 = 80,432/x
  3. Step 3: Cross multiply
    38,776x = 80,432 × 80,432
  4. Step 4: Simplify right side
    38,776x = 6,469,306,624
  5. Step 5: Solve for x
    x = 6,469,306,624/38,776
  6. Step 6: Final answer
    x = 166,837.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.