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Finding the Third Proportional to 33,631.13 and 73,822.88

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Solution

The third proportional to 33,631.13 and 73,822.88 is: 162,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,631.13 : 73,822.88 = 73,822.88 : x
  2. Step 2: Convert to fraction form
    33,631.13/73,822.88 = 73,822.88/x
  3. Step 3: Cross multiply
    33,631.13x = 73,822.88 × 73,822.88
  4. Step 4: Simplify right side
    33,631.13x = 5,449,816,873.27
  5. Step 5: Solve for x
    x = 5,449,816,873.27/33,631.13
  6. Step 6: Final answer
    x = 162,046.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.