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Finding the Third Proportional to 20,638 and 30,908

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Solution

The third proportional to 20,638 and 30,908 is: 46,288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,638 : 30,908 = 30,908 : x
  2. Step 2: Convert to fraction form
    20,638/30,908 = 30,908/x
  3. Step 3: Cross multiply
    20,638x = 30,908 × 30,908
  4. Step 4: Simplify right side
    20,638x = 955,304,464
  5. Step 5: Solve for x
    x = 955,304,464/20,638
  6. Step 6: Final answer
    x = 46,288.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.