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Finding the Third Proportional to 33,645.38 and 72,864.56

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Solution

The third proportional to 33,645.38 and 72,864.56 is: 157,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,645.38 : 72,864.56 = 72,864.56 : x
  2. Step 2: Convert to fraction form
    33,645.38/72,864.56 = 72,864.56/x
  3. Step 3: Cross multiply
    33,645.38x = 72,864.56 × 72,864.56
  4. Step 4: Simplify right side
    33,645.38x = 5,309,244,468.32
  5. Step 5: Solve for x
    x = 5,309,244,468.32/33,645.38
  6. Step 6: Final answer
    x = 157,800.13

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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.