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Finding the Third Proportional to 27,600 and 59,874

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Solution

The third proportional to 27,600 and 59,874 is: 129,887.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,600 : 59,874 = 59,874 : x
  2. Step 2: Convert to fraction form
    27,600/59,874 = 59,874/x
  3. Step 3: Cross multiply
    27,600x = 59,874 × 59,874
  4. Step 4: Simplify right side
    27,600x = 3,584,895,876
  5. Step 5: Solve for x
    x = 3,584,895,876/27,600
  6. Step 6: Final answer
    x = 129,887.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.