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Finding the Third Proportional to 27,892 and 61,400

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Solution

The third proportional to 27,892 and 61,400 is: 135,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892 : 61,400 = 61,400 : x
  2. Step 2: Convert to fraction form
    27,892/61,400 = 61,400/x
  3. Step 3: Cross multiply
    27,892x = 61,400 × 61,400
  4. Step 4: Simplify right side
    27,892x = 3,769,960,000
  5. Step 5: Solve for x
    x = 3,769,960,000/27,892
  6. Step 6: Final answer
    x = 135,162.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.