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Finding the Third Proportional to 20,239 and 41,449

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Solution

The third proportional to 20,239 and 41,449 is: 84,886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,239 : 41,449 = 41,449 : x
  2. Step 2: Convert to fraction form
    20,239/41,449 = 41,449/x
  3. Step 3: Cross multiply
    20,239x = 41,449 × 41,449
  4. Step 4: Simplify right side
    20,239x = 1,718,019,601
  5. Step 5: Solve for x
    x = 1,718,019,601/20,239
  6. Step 6: Final answer
    x = 84,886.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.