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Finding the Third Proportional to 47,892 and 75,797

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Solution

The third proportional to 47,892 and 75,797 is: 119,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,892 : 75,797 = 75,797 : x
  2. Step 2: Convert to fraction form
    47,892/75,797 = 75,797/x
  3. Step 3: Cross multiply
    47,892x = 75,797 × 75,797
  4. Step 4: Simplify right side
    47,892x = 5,745,185,209
  5. Step 5: Solve for x
    x = 5,745,185,209/47,892
  6. Step 6: Final answer
    x = 119,961.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.