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Finding the Third Proportional to 38,198.25 and 77,429.25

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Solution

The third proportional to 38,198.25 and 77,429.25 is: 156,951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,198.25 : 77,429.25 = 77,429.25 : x
  2. Step 2: Convert to fraction form
    38,198.25/77,429.25 = 77,429.25/x
  3. Step 3: Cross multiply
    38,198.25x = 77,429.25 × 77,429.25
  4. Step 4: Simplify right side
    38,198.25x = 5,995,288,755.56
  5. Step 5: Solve for x
    x = 5,995,288,755.56/38,198.25
  6. Step 6: Final answer
    x = 156,951.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.