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Finding the Third Proportional to 38,244.66 and 53,761.78

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Solution

The third proportional to 38,244.66 and 53,761.78 is: 75,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,244.66 : 53,761.78 = 53,761.78 : x
  2. Step 2: Convert to fraction form
    38,244.66/53,761.78 = 53,761.78/x
  3. Step 3: Cross multiply
    38,244.66x = 53,761.78 × 53,761.78
  4. Step 4: Simplify right side
    38,244.66x = 2,890,329,123.17
  5. Step 5: Solve for x
    x = 2,890,329,123.17/38,244.66
  6. Step 6: Final answer
    x = 75,574.72

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.