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Finding the Third Proportional to 23,885 and 51,919

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Solution

The third proportional to 23,885 and 51,919 is: 112,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,885 : 51,919 = 51,919 : x
  2. Step 2: Convert to fraction form
    23,885/51,919 = 51,919/x
  3. Step 3: Cross multiply
    23,885x = 51,919 × 51,919
  4. Step 4: Simplify right side
    23,885x = 2,695,582,561
  5. Step 5: Solve for x
    x = 2,695,582,561/23,885
  6. Step 6: Final answer
    x = 112,856.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.