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Finding the Third Proportional to 12,344 and 26,795

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Solution

The third proportional to 12,344 and 26,795 is: 58,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,344 : 26,795 = 26,795 : x
  2. Step 2: Convert to fraction form
    12,344/26,795 = 26,795/x
  3. Step 3: Cross multiply
    12,344x = 26,795 × 26,795
  4. Step 4: Simplify right side
    12,344x = 717,972,025
  5. Step 5: Solve for x
    x = 717,972,025/12,344
  6. Step 6: Final answer
    x = 58,163.64

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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.