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Finding the Third Proportional to 7,544 and 11,744

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Solution

The third proportional to 7,544 and 11,744 is: 18,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544 : 11,744 = 11,744 : x
  2. Step 2: Convert to fraction form
    7,544/11,744 = 11,744/x
  3. Step 3: Cross multiply
    7,544x = 11,744 × 11,744
  4. Step 4: Simplify right side
    7,544x = 137,921,536
  5. Step 5: Solve for x
    x = 137,921,536/7,544
  6. Step 6: Final answer
    x = 18,282.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.