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Finding the Third Proportional to 38,963.53 and 87,836.91

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Solution

The third proportional to 38,963.53 and 87,836.91 is: 198,013.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,963.53 : 87,836.91 = 87,836.91 : x
  2. Step 2: Convert to fraction form
    38,963.53/87,836.91 = 87,836.91/x
  3. Step 3: Cross multiply
    38,963.53x = 87,836.91 × 87,836.91
  4. Step 4: Simplify right side
    38,963.53x = 7,715,322,099.57
  5. Step 5: Solve for x
    x = 7,715,322,099.57/38,963.53
  6. Step 6: Final answer
    x = 198,013.93

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.