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Finding the Third Proportional to 6,517.13 and 9,806.91

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Solution

The third proportional to 6,517.13 and 9,806.91 is: 14,757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.13 : 9,806.91 = 9,806.91 : x
  2. Step 2: Convert to fraction form
    6,517.13/9,806.91 = 9,806.91/x
  3. Step 3: Cross multiply
    6,517.13x = 9,806.91 × 9,806.91
  4. Step 4: Simplify right side
    6,517.13x = 96,175,410.20
  5. Step 5: Solve for x
    x = 96,175,410.20/6,517.13
  6. Step 6: Final answer
    x = 14,757.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.