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Finding the Third Proportional to 38,863.50 and 57,019.88

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Solution

The third proportional to 38,863.50 and 57,019.88 is: 83,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,863.50 : 57,019.88 = 57,019.88 : x
  2. Step 2: Convert to fraction form
    38,863.50/57,019.88 = 57,019.88/x
  3. Step 3: Cross multiply
    38,863.50x = 57,019.88 × 57,019.88
  4. Step 4: Simplify right side
    38,863.50x = 3,251,266,145.02
  5. Step 5: Solve for x
    x = 3,251,266,145.02/38,863.50
  6. Step 6: Final answer
    x = 83,658.60

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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.