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Finding the Third Proportional to 38,287.69 and 54,211.78

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Solution

The third proportional to 38,287.69 and 54,211.78 is: 76,758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,287.69 : 54,211.78 = 54,211.78 : x
  2. Step 2: Convert to fraction form
    38,287.69/54,211.78 = 54,211.78/x
  3. Step 3: Cross multiply
    38,287.69x = 54,211.78 × 54,211.78
  4. Step 4: Simplify right side
    38,287.69x = 2,938,917,226.30
  5. Step 5: Solve for x
    x = 2,938,917,226.30/38,287.69
  6. Step 6: Final answer
    x = 76,758.81

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.