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Finding the Third Proportional to 38,248.88 and 82,657.13

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Solution

The third proportional to 38,248.88 and 82,657.13 is: 178,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,248.88 : 82,657.13 = 82,657.13 : x
  2. Step 2: Convert to fraction form
    38,248.88/82,657.13 = 82,657.13/x
  3. Step 3: Cross multiply
    38,248.88x = 82,657.13 × 82,657.13
  4. Step 4: Simplify right side
    38,248.88x = 6,832,200,313.27
  5. Step 5: Solve for x
    x = 6,832,200,313.27/38,248.88
  6. Step 6: Final answer
    x = 178,624.87

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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.