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Finding the Third Proportional to 23,204 and 50,344

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Solution

The third proportional to 23,204 and 50,344 is: 109,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,204 : 50,344 = 50,344 : x
  2. Step 2: Convert to fraction form
    23,204/50,344 = 50,344/x
  3. Step 3: Cross multiply
    23,204x = 50,344 × 50,344
  4. Step 4: Simplify right side
    23,204x = 2,534,518,336
  5. Step 5: Solve for x
    x = 2,534,518,336/23,204
  6. Step 6: Final answer
    x = 109,227.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.