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Finding the Third Proportional to 2,474 and 3,523

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Solution

The third proportional to 2,474 and 3,523 is: 5,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474 : 3,523 = 3,523 : x
  2. Step 2: Convert to fraction form
    2,474/3,523 = 3,523/x
  3. Step 3: Cross multiply
    2,474x = 3,523 × 3,523
  4. Step 4: Simplify right side
    2,474x = 12,411,529
  5. Step 5: Solve for x
    x = 12,411,529/2,474
  6. Step 6: Final answer
    x = 5,016.79

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.