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Finding the Third Proportional to 22,156 and 33,932

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Solution

The third proportional to 22,156 and 33,932 is: 51,966.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,156 : 33,932 = 33,932 : x
  2. Step 2: Convert to fraction form
    22,156/33,932 = 33,932/x
  3. Step 3: Cross multiply
    22,156x = 33,932 × 33,932
  4. Step 4: Simplify right side
    22,156x = 1,151,380,624
  5. Step 5: Solve for x
    x = 1,151,380,624/22,156
  6. Step 6: Final answer
    x = 51,966.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.