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Finding the Third Proportional to 20,767 and 32,244

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Solution

The third proportional to 20,767 and 32,244 is: 50,063.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,767 : 32,244 = 32,244 : x
  2. Step 2: Convert to fraction form
    20,767/32,244 = 32,244/x
  3. Step 3: Cross multiply
    20,767x = 32,244 × 32,244
  4. Step 4: Simplify right side
    20,767x = 1,039,675,536
  5. Step 5: Solve for x
    x = 1,039,675,536/20,767
  6. Step 6: Final answer
    x = 50,063.83

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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.