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Finding the Third Proportional to 12,002 and 24,926

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Solution

The third proportional to 12,002 and 24,926 is: 51,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002 : 24,926 = 24,926 : x
  2. Step 2: Convert to fraction form
    12,002/24,926 = 24,926/x
  3. Step 3: Cross multiply
    12,002x = 24,926 × 24,926
  4. Step 4: Simplify right side
    12,002x = 621,305,476
  5. Step 5: Solve for x
    x = 621,305,476/12,002
  6. Step 6: Final answer
    x = 51,766.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.