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Finding the Third Proportional to 32,032.97 and 76,505.91

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Solution

The third proportional to 32,032.97 and 76,505.91 is: 182,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,032.97 : 76,505.91 = 76,505.91 : x
  2. Step 2: Convert to fraction form
    32,032.97/76,505.91 = 76,505.91/x
  3. Step 3: Cross multiply
    32,032.97x = 76,505.91 × 76,505.91
  4. Step 4: Simplify right side
    32,032.97x = 5,853,153,691.13
  5. Step 5: Solve for x
    x = 5,853,153,691.13/32,032.97
  6. Step 6: Final answer
    x = 182,722.80

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.