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Finding the Third Proportional to 32,134.13 and 69,631.31

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Solution

The third proportional to 32,134.13 and 69,631.31 is: 150,883.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,134.13 : 69,631.31 = 69,631.31 : x
  2. Step 2: Convert to fraction form
    32,134.13/69,631.31 = 69,631.31/x
  3. Step 3: Cross multiply
    32,134.13x = 69,631.31 × 69,631.31
  4. Step 4: Simplify right side
    32,134.13x = 4,848,519,680.47
  5. Step 5: Solve for x
    x = 4,848,519,680.47/32,134.13
  6. Step 6: Final answer
    x = 150,883.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.