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Finding the Third Proportional to 2,474 and 3,817

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Solution

The third proportional to 2,474 and 3,817 is: 5,889.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474 : 3,817 = 3,817 : x
  2. Step 2: Convert to fraction form
    2,474/3,817 = 3,817/x
  3. Step 3: Cross multiply
    2,474x = 3,817 × 3,817
  4. Step 4: Simplify right side
    2,474x = 14,569,489
  5. Step 5: Solve for x
    x = 14,569,489/2,474
  6. Step 6: Final answer
    x = 5,889.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.