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Finding the Third Proportional to 32,853.38 and 71,578.13

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Solution

The third proportional to 32,853.38 and 71,578.13 is: 155,948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.38 : 71,578.13 = 71,578.13 : x
  2. Step 2: Convert to fraction form
    32,853.38/71,578.13 = 71,578.13/x
  3. Step 3: Cross multiply
    32,853.38x = 71,578.13 × 71,578.13
  4. Step 4: Simplify right side
    32,853.38x = 5,123,427,978.52
  5. Step 5: Solve for x
    x = 5,123,427,978.52/32,853.38
  6. Step 6: Final answer
    x = 155,948.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.