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Finding the Third Proportional to 12,642 and 24,942

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Solution

The third proportional to 12,642 and 24,942 is: 49,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642 : 24,942 = 24,942 : x
  2. Step 2: Convert to fraction form
    12,642/24,942 = 24,942/x
  3. Step 3: Cross multiply
    12,642x = 24,942 × 24,942
  4. Step 4: Simplify right side
    12,642x = 622,103,364
  5. Step 5: Solve for x
    x = 622,103,364/12,642
  6. Step 6: Final answer
    x = 49,209.25

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.