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Finding the Third Proportional to 22,512 and 33,642

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Solution

The third proportional to 22,512 and 33,642 is: 50,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,512 : 33,642 = 33,642 : x
  2. Step 2: Convert to fraction form
    22,512/33,642 = 33,642/x
  3. Step 3: Cross multiply
    22,512x = 33,642 × 33,642
  4. Step 4: Simplify right side
    22,512x = 1,131,784,164
  5. Step 5: Solve for x
    x = 1,131,784,164/22,512
  6. Step 6: Final answer
    x = 50,274.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.