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Finding the Third Proportional to 32,548.71 and 71,350.88

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Solution

The third proportional to 32,548.71 and 71,350.88 is: 156,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,548.71 : 71,350.88 = 71,350.88 : x
  2. Step 2: Convert to fraction form
    32,548.71/71,350.88 = 71,350.88/x
  3. Step 3: Cross multiply
    32,548.71x = 71,350.88 × 71,350.88
  4. Step 4: Simplify right side
    32,548.71x = 5,090,947,363.27
  5. Step 5: Solve for x
    x = 5,090,947,363.27/32,548.71
  6. Step 6: Final answer
    x = 156,410.11

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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.