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Finding the Third Proportional to 1,181 and 2,744

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Solution

The third proportional to 1,181 and 2,744 is: 6,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181 : 2,744 = 2,744 : x
  2. Step 2: Convert to fraction form
    1,181/2,744 = 2,744/x
  3. Step 3: Cross multiply
    1,181x = 2,744 × 2,744
  4. Step 4: Simplify right side
    1,181x = 7,529,536
  5. Step 5: Solve for x
    x = 7,529,536/1,181
  6. Step 6: Final answer
    x = 6,375.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.