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Finding the Third Proportional to 32,079.38 and 43,198.31

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Solution

The third proportional to 32,079.38 and 43,198.31 is: 58,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,079.38 : 43,198.31 = 43,198.31 : x
  2. Step 2: Convert to fraction form
    32,079.38/43,198.31 = 43,198.31/x
  3. Step 3: Cross multiply
    32,079.38x = 43,198.31 × 43,198.31
  4. Step 4: Simplify right side
    32,079.38x = 1,866,094,202.85
  5. Step 5: Solve for x
    x = 1,866,094,202.85/32,079.38
  6. Step 6: Final answer
    x = 58,171.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.