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Finding the Third Proportional to 22,112 and 33,215

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Solution

The third proportional to 22,112 and 33,215 is: 49,893.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,112 : 33,215 = 33,215 : x
  2. Step 2: Convert to fraction form
    22,112/33,215 = 33,215/x
  3. Step 3: Cross multiply
    22,112x = 33,215 × 33,215
  4. Step 4: Simplify right side
    22,112x = 1,103,236,225
  5. Step 5: Solve for x
    x = 1,103,236,225/22,112
  6. Step 6: Final answer
    x = 49,893.10

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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.