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Finding the Third Proportional to 27,511 and 60,079

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Solution

The third proportional to 27,511 and 60,079 is: 131,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,511 : 60,079 = 60,079 : x
  2. Step 2: Convert to fraction form
    27,511/60,079 = 60,079/x
  3. Step 3: Cross multiply
    27,511x = 60,079 × 60,079
  4. Step 4: Simplify right side
    27,511x = 3,609,486,241
  5. Step 5: Solve for x
    x = 3,609,486,241/27,511
  6. Step 6: Final answer
    x = 131,201.56

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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.