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Finding the Third Proportional to 33,863.25 and 77,881.13

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Solution

The third proportional to 33,863.25 and 77,881.13 is: 179,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,863.25 : 77,881.13 = 77,881.13 : x
  2. Step 2: Convert to fraction form
    33,863.25/77,881.13 = 77,881.13/x
  3. Step 3: Cross multiply
    33,863.25x = 77,881.13 × 77,881.13
  4. Step 4: Simplify right side
    33,863.25x = 6,065,469,631.27
  5. Step 5: Solve for x
    x = 6,065,469,631.27/33,863.25
  6. Step 6: Final answer
    x = 179,116.58

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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.