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Finding the Third Proportional to 2,471 and 5,741

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Solution

The third proportional to 2,471 and 5,741 is: 13,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471 : 5,741 = 5,741 : x
  2. Step 2: Convert to fraction form
    2,471/5,741 = 5,741/x
  3. Step 3: Cross multiply
    2,471x = 5,741 × 5,741
  4. Step 4: Simplify right side
    2,471x = 32,959,081
  5. Step 5: Solve for x
    x = 32,959,081/2,471
  6. Step 6: Final answer
    x = 13,338.36

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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.