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Finding the Third Proportional to 38,863.97 and 57,019.78

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Solution

The third proportional to 38,863.97 and 57,019.78 is: 83,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,863.97 : 57,019.78 = 57,019.78 : x
  2. Step 2: Convert to fraction form
    38,863.97/57,019.78 = 57,019.78/x
  3. Step 3: Cross multiply
    38,863.97x = 57,019.78 × 57,019.78
  4. Step 4: Simplify right side
    38,863.97x = 3,251,255,453.80
  5. Step 5: Solve for x
    x = 3,251,255,453.80/38,863.97
  6. Step 6: Final answer
    x = 83,657.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.