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Finding the Third Proportional to 27,872 and 60,880

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Solution

The third proportional to 27,872 and 60,880 is: 132,978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872 : 60,880 = 60,880 : x
  2. Step 2: Convert to fraction form
    27,872/60,880 = 60,880/x
  3. Step 3: Cross multiply
    27,872x = 60,880 × 60,880
  4. Step 4: Simplify right side
    27,872x = 3,706,374,400
  5. Step 5: Solve for x
    x = 3,706,374,400/27,872
  6. Step 6: Final answer
    x = 132,978.42

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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.