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Finding the Third Proportional to 20,831 and 32,264

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Solution

The third proportional to 20,831 and 32,264 is: 49,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,831 : 32,264 = 32,264 : x
  2. Step 2: Convert to fraction form
    20,831/32,264 = 32,264/x
  3. Step 3: Cross multiply
    20,831x = 32,264 × 32,264
  4. Step 4: Simplify right side
    20,831x = 1,040,965,696
  5. Step 5: Solve for x
    x = 1,040,965,696/20,831
  6. Step 6: Final answer
    x = 49,971.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.