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Finding the Third Proportional to 16,843 and 26,344

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Solution

The third proportional to 16,843 and 26,344 is: 41,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843 : 26,344 = 26,344 : x
  2. Step 2: Convert to fraction form
    16,843/26,344 = 26,344/x
  3. Step 3: Cross multiply
    16,843x = 26,344 × 26,344
  4. Step 4: Simplify right side
    16,843x = 694,006,336
  5. Step 5: Solve for x
    x = 694,006,336/16,843
  6. Step 6: Final answer
    x = 41,204.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.