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Finding the Third Proportional to 2,461 and 5,743

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Solution

The third proportional to 2,461 and 5,743 is: 13,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461 : 5,743 = 5,743 : x
  2. Step 2: Convert to fraction form
    2,461/5,743 = 5,743/x
  3. Step 3: Cross multiply
    2,461x = 5,743 × 5,743
  4. Step 4: Simplify right side
    2,461x = 32,982,049
  5. Step 5: Solve for x
    x = 32,982,049/2,461
  6. Step 6: Final answer
    x = 13,401.89

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.