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Finding the Third Proportional to 4,951.13 and 10,727.44

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Solution

The third proportional to 4,951.13 and 10,727.44 is: 23,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.13 : 10,727.44 = 10,727.44 : x
  2. Step 2: Convert to fraction form
    4,951.13/10,727.44 = 10,727.44/x
  3. Step 3: Cross multiply
    4,951.13x = 10,727.44 × 10,727.44
  4. Step 4: Simplify right side
    4,951.13x = 115,077,915.32
  5. Step 5: Solve for x
    x = 115,077,915.32/4,951.13
  6. Step 6: Final answer
    x = 23,242.78

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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.