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Finding the Third Proportional to 22,138 and 33,231

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Solution

The third proportional to 22,138 and 33,231 is: 49,882.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138 : 33,231 = 33,231 : x
  2. Step 2: Convert to fraction form
    22,138/33,231 = 33,231/x
  3. Step 3: Cross multiply
    22,138x = 33,231 × 33,231
  4. Step 4: Simplify right side
    22,138x = 1,104,299,361
  5. Step 5: Solve for x
    x = 1,104,299,361/22,138
  6. Step 6: Final answer
    x = 49,882.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.