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Finding the Third Proportional to 27,828 and 61,874

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Solution

The third proportional to 27,828 and 61,874 is: 137,573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,828 : 61,874 = 61,874 : x
  2. Step 2: Convert to fraction form
    27,828/61,874 = 61,874/x
  3. Step 3: Cross multiply
    27,828x = 61,874 × 61,874
  4. Step 4: Simplify right side
    27,828x = 3,828,391,876
  5. Step 5: Solve for x
    x = 3,828,391,876/27,828
  6. Step 6: Final answer
    x = 137,573.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.