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Finding the Third Proportional to 26,841 and 36,449

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Solution

The third proportional to 26,841 and 36,449 is: 49,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,841 : 36,449 = 36,449 : x
  2. Step 2: Convert to fraction form
    26,841/36,449 = 36,449/x
  3. Step 3: Cross multiply
    26,841x = 36,449 × 36,449
  4. Step 4: Simplify right side
    26,841x = 1,328,529,601
  5. Step 5: Solve for x
    x = 1,328,529,601/26,841
  6. Step 6: Final answer
    x = 49,496.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.