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Finding the Third Proportional to 23,831 and 50,933

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Solution

The third proportional to 23,831 and 50,933 is: 108,856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,831 : 50,933 = 50,933 : x
  2. Step 2: Convert to fraction form
    23,831/50,933 = 50,933/x
  3. Step 3: Cross multiply
    23,831x = 50,933 × 50,933
  4. Step 4: Simplify right side
    23,831x = 2,594,170,489
  5. Step 5: Solve for x
    x = 2,594,170,489/23,831
  6. Step 6: Final answer
    x = 108,856.97

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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.