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Finding the Third Proportional to 32,672.25 and 71,569.69

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Solution

The third proportional to 32,672.25 and 71,569.69 is: 156,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,672.25 : 71,569.69 = 71,569.69 : x
  2. Step 2: Convert to fraction form
    32,672.25/71,569.69 = 71,569.69/x
  3. Step 3: Cross multiply
    32,672.25x = 71,569.69 × 71,569.69
  4. Step 4: Simplify right side
    32,672.25x = 5,122,220,168.85
  5. Step 5: Solve for x
    x = 5,122,220,168.85/32,672.25
  6. Step 6: Final answer
    x = 156,775.86

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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.