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Finding the Third Proportional to 6,760.13 and 15,796.69

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Solution

The third proportional to 6,760.13 and 15,796.69 is: 36,912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.13 : 15,796.69 = 15,796.69 : x
  2. Step 2: Convert to fraction form
    6,760.13/15,796.69 = 15,796.69/x
  3. Step 3: Cross multiply
    6,760.13x = 15,796.69 × 15,796.69
  4. Step 4: Simplify right side
    6,760.13x = 249,535,335.97
  5. Step 5: Solve for x
    x = 249,535,335.97/6,760.13
  6. Step 6: Final answer
    x = 36,912.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.