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Finding the Third Proportional to 4,517.44 and 10,002.66

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Solution

The third proportional to 4,517.44 and 10,002.66 is: 22,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.44 : 10,002.66 = 10,002.66 : x
  2. Step 2: Convert to fraction form
    4,517.44/10,002.66 = 10,002.66/x
  3. Step 3: Cross multiply
    4,517.44x = 10,002.66 × 10,002.66
  4. Step 4: Simplify right side
    4,517.44x = 100,053,132.06
  5. Step 5: Solve for x
    x = 100,053,132.06/4,517.44
  6. Step 6: Final answer
    x = 22,148.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.