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Finding the Third Proportional to 23,189 and 33,811

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Solution

The third proportional to 23,189 and 33,811 is: 49,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189 : 33,811 = 33,811 : x
  2. Step 2: Convert to fraction form
    23,189/33,811 = 33,811/x
  3. Step 3: Cross multiply
    23,189x = 33,811 × 33,811
  4. Step 4: Simplify right side
    23,189x = 1,143,183,721
  5. Step 5: Solve for x
    x = 1,143,183,721/23,189
  6. Step 6: Final answer
    x = 49,298.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.