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Finding the Third Proportional to 41,834.39 and 63,732.23

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Solution

The third proportional to 41,834.39 and 63,732.23 is: 97,092.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,834.39 : 63,732.23 = 63,732.23 : x
  2. Step 2: Convert to fraction form
    41,834.39/63,732.23 = 63,732.23/x
  3. Step 3: Cross multiply
    41,834.39x = 63,732.23 × 63,732.23
  4. Step 4: Simplify right side
    41,834.39x = 4,061,797,698.43
  5. Step 5: Solve for x
    x = 4,061,797,698.43/41,834.39
  6. Step 6: Final answer
    x = 97,092.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.