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Finding the Third Proportional to 57,891.38 and 86,594.06

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Solution

The third proportional to 57,891.38 and 86,594.06 is: 129,527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,891.38 : 86,594.06 = 86,594.06 : x
  2. Step 2: Convert to fraction form
    57,891.38/86,594.06 = 86,594.06/x
  3. Step 3: Cross multiply
    57,891.38x = 86,594.06 × 86,594.06
  4. Step 4: Simplify right side
    57,891.38x = 7,498,531,660.25
  5. Step 5: Solve for x
    x = 7,498,531,660.25/57,891.38
  6. Step 6: Final answer
    x = 129,527.61

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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.