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Finding the Third Proportional to 22,874 and 49,936

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Solution

The third proportional to 22,874 and 49,936 is: 109,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874 : 49,936 = 49,936 : x
  2. Step 2: Convert to fraction form
    22,874/49,936 = 49,936/x
  3. Step 3: Cross multiply
    22,874x = 49,936 × 49,936
  4. Step 4: Simplify right side
    22,874x = 2,493,604,096
  5. Step 5: Solve for x
    x = 2,493,604,096/22,874
  6. Step 6: Final answer
    x = 109,014.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.