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Finding the Third Proportional to 22,167 and 33,251

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Solution

The third proportional to 22,167 and 33,251 is: 49,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,167 : 33,251 = 33,251 : x
  2. Step 2: Convert to fraction form
    22,167/33,251 = 33,251/x
  3. Step 3: Cross multiply
    22,167x = 33,251 × 33,251
  4. Step 4: Simplify right side
    22,167x = 1,105,629,001
  5. Step 5: Solve for x
    x = 1,105,629,001/22,167
  6. Step 6: Final answer
    x = 49,877.25

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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.