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Finding the Third Proportional to 32,634.14 and 71,521.73

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Solution

The third proportional to 32,634.14 and 71,521.73 is: 156,748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,634.14 : 71,521.73 = 71,521.73 : x
  2. Step 2: Convert to fraction form
    32,634.14/71,521.73 = 71,521.73/x
  3. Step 3: Cross multiply
    32,634.14x = 71,521.73 × 71,521.73
  4. Step 4: Simplify right side
    32,634.14x = 5,115,358,488.01
  5. Step 5: Solve for x
    x = 5,115,358,488.01/32,634.14
  6. Step 6: Final answer
    x = 156,748.68

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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.