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Finding the Third Proportional to 20,864 and 31,811

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Solution

The third proportional to 20,864 and 31,811 is: 48,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,864 : 31,811 = 31,811 : x
  2. Step 2: Convert to fraction form
    20,864/31,811 = 31,811/x
  3. Step 3: Cross multiply
    20,864x = 31,811 × 31,811
  4. Step 4: Simplify right side
    20,864x = 1,011,939,721
  5. Step 5: Solve for x
    x = 1,011,939,721/20,864
  6. Step 6: Final answer
    x = 48,501.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.