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Finding the Third Proportional to 25,211 and 50,422

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Solution

The third proportional to 25,211 and 50,422 is: 100,844

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,211 : 50,422 = 50,422 : x
  2. Step 2: Convert to fraction form
    25,211/50,422 = 50,422/x
  3. Step 3: Cross multiply
    25,211x = 50,422 × 50,422
  4. Step 4: Simplify right side
    25,211x = 2,542,378,084
  5. Step 5: Solve for x
    x = 2,542,378,084/25,211
  6. Step 6: Final answer
    x = 100,844

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.