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Finding the Third Proportional to 12,493 and 26,839

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Solution

The third proportional to 12,493 and 26,839 is: 57,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493 : 26,839 = 26,839 : x
  2. Step 2: Convert to fraction form
    12,493/26,839 = 26,839/x
  3. Step 3: Cross multiply
    12,493x = 26,839 × 26,839
  4. Step 4: Simplify right side
    12,493x = 720,331,921
  5. Step 5: Solve for x
    x = 720,331,921/12,493
  6. Step 6: Final answer
    x = 57,658.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.