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Finding the Third Proportional to 12,809 and 27,949

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Solution

The third proportional to 12,809 and 27,949 is: 60,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809 : 27,949 = 27,949 : x
  2. Step 2: Convert to fraction form
    12,809/27,949 = 27,949/x
  3. Step 3: Cross multiply
    12,809x = 27,949 × 27,949
  4. Step 4: Simplify right side
    12,809x = 781,146,601
  5. Step 5: Solve for x
    x = 781,146,601/12,809
  6. Step 6: Final answer
    x = 60,984.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.