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Finding the Third Proportional to 27,874 and 60,292

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Solution

The third proportional to 27,874 and 60,292 is: 130,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874 : 60,292 = 60,292 : x
  2. Step 2: Convert to fraction form
    27,874/60,292 = 60,292/x
  3. Step 3: Cross multiply
    27,874x = 60,292 × 60,292
  4. Step 4: Simplify right side
    27,874x = 3,635,125,264
  5. Step 5: Solve for x
    x = 3,635,125,264/27,874
  6. Step 6: Final answer
    x = 130,412.76

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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.