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Finding the Third Proportional to 27,879 and 60,132

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Solution

The third proportional to 27,879 and 60,132 is: 129,698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,879 : 60,132 = 60,132 : x
  2. Step 2: Convert to fraction form
    27,879/60,132 = 60,132/x
  3. Step 3: Cross multiply
    27,879x = 60,132 × 60,132
  4. Step 4: Simplify right side
    27,879x = 3,615,857,424
  5. Step 5: Solve for x
    x = 3,615,857,424/27,879
  6. Step 6: Final answer
    x = 129,698.25

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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.