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Finding the Third Proportional to 5,739 and 7,743

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Solution

The third proportional to 5,739 and 7,743 is: 10,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739 : 7,743 = 7,743 : x
  2. Step 2: Convert to fraction form
    5,739/7,743 = 7,743/x
  3. Step 3: Cross multiply
    5,739x = 7,743 × 7,743
  4. Step 4: Simplify right side
    5,739x = 59,954,049
  5. Step 5: Solve for x
    x = 59,954,049/5,739
  6. Step 6: Final answer
    x = 10,446.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.