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Finding the Third Proportional to 22,662 and 33,939

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Solution

The third proportional to 22,662 and 33,939 is: 50,827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662 : 33,939 = 33,939 : x
  2. Step 2: Convert to fraction form
    22,662/33,939 = 33,939/x
  3. Step 3: Cross multiply
    22,662x = 33,939 × 33,939
  4. Step 4: Simplify right side
    22,662x = 1,151,855,721
  5. Step 5: Solve for x
    x = 1,151,855,721/22,662
  6. Step 6: Final answer
    x = 50,827.63

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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.