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Finding the Third Proportional to 27,759 and 59,949

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Solution

The third proportional to 27,759 and 59,949 is: 129,467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,759 : 59,949 = 59,949 : x
  2. Step 2: Convert to fraction form
    27,759/59,949 = 59,949/x
  3. Step 3: Cross multiply
    27,759x = 59,949 × 59,949
  4. Step 4: Simplify right side
    27,759x = 3,593,882,601
  5. Step 5: Solve for x
    x = 3,593,882,601/27,759
  6. Step 6: Final answer
    x = 129,467.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.