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Finding the Third Proportional to 33,613.31 and 73,340.44

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Solution

The third proportional to 33,613.31 and 73,340.44 is: 160,020.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,613.31 : 73,340.44 = 73,340.44 : x
  2. Step 2: Convert to fraction form
    33,613.31/73,340.44 = 73,340.44/x
  3. Step 3: Cross multiply
    33,613.31x = 73,340.44 × 73,340.44
  4. Step 4: Simplify right side
    33,613.31x = 5,378,819,772.69
  5. Step 5: Solve for x
    x = 5,378,819,772.69/33,613.31
  6. Step 6: Final answer
    x = 160,020.52

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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.