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Finding the Third Proportional to 4,049.88 and 8,714.88

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Solution

The third proportional to 4,049.88 and 8,714.88 is: 18,753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.88 : 8,714.88 = 8,714.88 : x
  2. Step 2: Convert to fraction form
    4,049.88/8,714.88 = 8,714.88/x
  3. Step 3: Cross multiply
    4,049.88x = 8,714.88 × 8,714.88
  4. Step 4: Simplify right side
    4,049.88x = 75,949,046.27
  5. Step 5: Solve for x
    x = 75,949,046.27/4,049.88
  6. Step 6: Final answer
    x = 18,753.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.