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Finding the Third Proportional to 33,864 and 77,882.75

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Solution

The third proportional to 33,864 and 77,882.75 is: 179,120.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,864 : 77,882.75 = 77,882.75 : x
  2. Step 2: Convert to fraction form
    33,864/77,882.75 = 77,882.75/x
  3. Step 3: Cross multiply
    33,864x = 77,882.75 × 77,882.75
  4. Step 4: Simplify right side
    33,864x = 6,065,722,747.56
  5. Step 5: Solve for x
    x = 6,065,722,747.56/33,864
  6. Step 6: Final answer
    x = 179,120.09

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.