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Finding the Third Proportional to 17,641.97 and 37,842.19

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Solution

The third proportional to 17,641.97 and 37,842.19 is: 81,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.97 : 37,842.19 = 37,842.19 : x
  2. Step 2: Convert to fraction form
    17,641.97/37,842.19 = 37,842.19/x
  3. Step 3: Cross multiply
    17,641.97x = 37,842.19 × 37,842.19
  4. Step 4: Simplify right side
    17,641.97x = 1,432,031,154.79
  5. Step 5: Solve for x
    x = 1,432,031,154.79/17,641.97
  6. Step 6: Final answer
    x = 81,171.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.