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Finding the Third Proportional to 27,492 and 58,872

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Solution

The third proportional to 27,492 and 58,872 is: 126,069.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,492 : 58,872 = 58,872 : x
  2. Step 2: Convert to fraction form
    27,492/58,872 = 58,872/x
  3. Step 3: Cross multiply
    27,492x = 58,872 × 58,872
  4. Step 4: Simplify right side
    27,492x = 3,465,912,384
  5. Step 5: Solve for x
    x = 3,465,912,384/27,492
  6. Step 6: Final answer
    x = 126,069.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.