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Finding the Third Proportional to 47,892 and 67,404

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Solution

The third proportional to 47,892 and 67,404 is: 94,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,892 : 67,404 = 67,404 : x
  2. Step 2: Convert to fraction form
    47,892/67,404 = 67,404/x
  3. Step 3: Cross multiply
    47,892x = 67,404 × 67,404
  4. Step 4: Simplify right side
    47,892x = 4,543,299,216
  5. Step 5: Solve for x
    x = 4,543,299,216/47,892
  6. Step 6: Final answer
    x = 94,865.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.