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Finding the Third Proportional to 32,713.88 and 71,658.42

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Solution

The third proportional to 32,713.88 and 71,658.42 is: 156,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,713.88 : 71,658.42 = 71,658.42 : x
  2. Step 2: Convert to fraction form
    32,713.88/71,658.42 = 71,658.42/x
  3. Step 3: Cross multiply
    32,713.88x = 71,658.42 × 71,658.42
  4. Step 4: Simplify right side
    32,713.88x = 5,134,929,425.62
  5. Step 5: Solve for x
    x = 5,134,929,425.62/32,713.88
  6. Step 6: Final answer
    x = 156,964.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.