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Finding the Third Proportional to 33,274.69 and 72,082.13

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Solution

The third proportional to 33,274.69 and 72,082.13 is: 156,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,274.69 : 72,082.13 = 72,082.13 : x
  2. Step 2: Convert to fraction form
    33,274.69/72,082.13 = 72,082.13/x
  3. Step 3: Cross multiply
    33,274.69x = 72,082.13 × 72,082.13
  4. Step 4: Simplify right side
    33,274.69x = 5,195,832,744.52
  5. Step 5: Solve for x
    x = 5,195,832,744.52/33,274.69
  6. Step 6: Final answer
    x = 156,149.71

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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.