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Finding the Third Proportional to 6,760.13 and 14,865.19

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Solution

The third proportional to 6,760.13 and 14,865.19 is: 32,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.13 : 14,865.19 = 14,865.19 : x
  2. Step 2: Convert to fraction form
    6,760.13/14,865.19 = 14,865.19/x
  3. Step 3: Cross multiply
    6,760.13x = 14,865.19 × 14,865.19
  4. Step 4: Simplify right side
    6,760.13x = 220,973,799.41
  5. Step 5: Solve for x
    x = 220,973,799.41/6,760.13
  6. Step 6: Final answer
    x = 32,687.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.