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Finding the Third Proportional to 38,154.80 and 82,876.92

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Solution

The third proportional to 38,154.80 and 82,876.92 is: 180,018.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,154.80 : 82,876.92 = 82,876.92 : x
  2. Step 2: Convert to fraction form
    38,154.80/82,876.92 = 82,876.92/x
  3. Step 3: Cross multiply
    38,154.80x = 82,876.92 × 82,876.92
  4. Step 4: Simplify right side
    38,154.80x = 6,868,584,179.47
  5. Step 5: Solve for x
    x = 6,868,584,179.47/38,154.80
  6. Step 6: Final answer
    x = 180,018.89

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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.