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Finding the Third Proportional to 22,110 and 48,936

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Solution

The third proportional to 22,110 and 48,936 is: 108,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,110 : 48,936 = 48,936 : x
  2. Step 2: Convert to fraction form
    22,110/48,936 = 48,936/x
  3. Step 3: Cross multiply
    22,110x = 48,936 × 48,936
  4. Step 4: Simplify right side
    22,110x = 2,394,732,096
  5. Step 5: Solve for x
    x = 2,394,732,096/22,110
  6. Step 6: Final answer
    x = 108,309.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.