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Finding the Third Proportional to 20,908 and 31,849

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Solution

The third proportional to 20,908 and 31,849 is: 48,515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,908 : 31,849 = 31,849 : x
  2. Step 2: Convert to fraction form
    20,908/31,849 = 31,849/x
  3. Step 3: Cross multiply
    20,908x = 31,849 × 31,849
  4. Step 4: Simplify right side
    20,908x = 1,014,358,801
  5. Step 5: Solve for x
    x = 1,014,358,801/20,908
  6. Step 6: Final answer
    x = 48,515.34

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