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Finding the Third Proportional to 2,462 and 3,812

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Solution

The third proportional to 2,462 and 3,812 is: 5,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462 : 3,812 = 3,812 : x
  2. Step 2: Convert to fraction form
    2,462/3,812 = 3,812/x
  3. Step 3: Cross multiply
    2,462x = 3,812 × 3,812
  4. Step 4: Simplify right side
    2,462x = 14,531,344
  5. Step 5: Solve for x
    x = 14,531,344/2,462
  6. Step 6: Final answer
    x = 5,902.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.