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Finding the Third Proportional to 20,327 and 48,962

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Solution

The third proportional to 20,327 and 48,962 is: 117,935.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,327 : 48,962 = 48,962 : x
  2. Step 2: Convert to fraction form
    20,327/48,962 = 48,962/x
  3. Step 3: Cross multiply
    20,327x = 48,962 × 48,962
  4. Step 4: Simplify right side
    20,327x = 2,397,277,444
  5. Step 5: Solve for x
    x = 2,397,277,444/20,327
  6. Step 6: Final answer
    x = 117,935.62

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.