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Finding the Third Proportional to 2,741 and 7,451

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Solution

The third proportional to 2,741 and 7,451 is: 20,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741 : 7,451 = 7,451 : x
  2. Step 2: Convert to fraction form
    2,741/7,451 = 7,451/x
  3. Step 3: Cross multiply
    2,741x = 7,451 × 7,451
  4. Step 4: Simplify right side
    2,741x = 55,517,401
  5. Step 5: Solve for x
    x = 55,517,401/2,741
  6. Step 6: Final answer
    x = 20,254.43

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.