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Finding the Third Proportional to 38,566.13 and 57,849.19

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Solution

The third proportional to 38,566.13 and 57,849.19 is: 86,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,566.13 : 57,849.19 = 57,849.19 : x
  2. Step 2: Convert to fraction form
    38,566.13/57,849.19 = 57,849.19/x
  3. Step 3: Cross multiply
    38,566.13x = 57,849.19 × 57,849.19
  4. Step 4: Simplify right side
    38,566.13x = 3,346,528,494.41
  5. Step 5: Solve for x
    x = 3,346,528,494.41/38,566.13
  6. Step 6: Final answer
    x = 86,773.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.