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Finding the Third Proportional to 38,863.88 and 57,016.13

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Solution

The third proportional to 38,863.88 and 57,016.13 is: 83,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,863.88 : 57,016.13 = 57,016.13 : x
  2. Step 2: Convert to fraction form
    38,863.88/57,016.13 = 57,016.13/x
  3. Step 3: Cross multiply
    38,863.88x = 57,016.13 × 57,016.13
  4. Step 4: Simplify right side
    38,863.88x = 3,250,838,510.02
  5. Step 5: Solve for x
    x = 3,250,838,510.02/38,863.88
  6. Step 6: Final answer
    x = 83,646.79

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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.