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Finding the Third Proportional to 1,163.81 and 2,691.56

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Solution

The third proportional to 1,163.81 and 2,691.56 is: 6,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.81 : 2,691.56 = 2,691.56 : x
  2. Step 2: Convert to fraction form
    1,163.81/2,691.56 = 2,691.56/x
  3. Step 3: Cross multiply
    1,163.81x = 2,691.56 × 2,691.56
  4. Step 4: Simplify right side
    1,163.81x = 7,244,508.69
  5. Step 5: Solve for x
    x = 7,244,508.69/1,163.81
  6. Step 6: Final answer
    x = 6,224.81

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.