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Finding the Third Proportional to 22,503 and 33,568

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Solution

The third proportional to 22,503 and 33,568 is: 50,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,503 : 33,568 = 33,568 : x
  2. Step 2: Convert to fraction form
    22,503/33,568 = 33,568/x
  3. Step 3: Cross multiply
    22,503x = 33,568 × 33,568
  4. Step 4: Simplify right side
    22,503x = 1,126,810,624
  5. Step 5: Solve for x
    x = 1,126,810,624/22,503
  6. Step 6: Final answer
    x = 50,073.80

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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.