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Finding the Third Proportional to 6,754.92 and 10,791.19

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Solution

The third proportional to 6,754.92 and 10,791.19 is: 17,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.92 : 10,791.19 = 10,791.19 : x
  2. Step 2: Convert to fraction form
    6,754.92/10,791.19 = 10,791.19/x
  3. Step 3: Cross multiply
    6,754.92x = 10,791.19 × 10,791.19
  4. Step 4: Simplify right side
    6,754.92x = 116,449,727.66
  5. Step 5: Solve for x
    x = 116,449,727.66/6,754.92
  6. Step 6: Final answer
    x = 17,239.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.