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Finding the Third Proportional to 33,169.50 and 71,472.38

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Solution

The third proportional to 33,169.50 and 71,472.38 is: 154,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,169.50 : 71,472.38 = 71,472.38 : x
  2. Step 2: Convert to fraction form
    33,169.50/71,472.38 = 71,472.38/x
  3. Step 3: Cross multiply
    33,169.50x = 71,472.38 × 71,472.38
  4. Step 4: Simplify right side
    33,169.50x = 5,108,300,388.14
  5. Step 5: Solve for x
    x = 5,108,300,388.14/33,169.50
  6. Step 6: Final answer
    x = 154,005.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.