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Finding the Third Proportional to 31,807.50 and 54,166.13

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Solution

The third proportional to 31,807.50 and 54,166.13 is: 92,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.50 : 54,166.13 = 54,166.13 : x
  2. Step 2: Convert to fraction form
    31,807.50/54,166.13 = 54,166.13/x
  3. Step 3: Cross multiply
    31,807.50x = 54,166.13 × 54,166.13
  4. Step 4: Simplify right side
    31,807.50x = 2,933,969,097.52
  5. Step 5: Solve for x
    x = 2,933,969,097.52/31,807.50
  6. Step 6: Final answer
    x = 92,241.42

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.