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Finding the Third Proportional to 2,440 and 5,691

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Solution

The third proportional to 2,440 and 5,691 is: 13,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440 : 5,691 = 5,691 : x
  2. Step 2: Convert to fraction form
    2,440/5,691 = 5,691/x
  3. Step 3: Cross multiply
    2,440x = 5,691 × 5,691
  4. Step 4: Simplify right side
    2,440x = 32,387,481
  5. Step 5: Solve for x
    x = 32,387,481/2,440
  6. Step 6: Final answer
    x = 13,273.56

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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.