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Finding the Third Proportional to 20,848 and 43,874

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Solution

The third proportional to 20,848 and 43,874 is: 92,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,848 : 43,874 = 43,874 : x
  2. Step 2: Convert to fraction form
    20,848/43,874 = 43,874/x
  3. Step 3: Cross multiply
    20,848x = 43,874 × 43,874
  4. Step 4: Simplify right side
    20,848x = 1,924,927,876
  5. Step 5: Solve for x
    x = 1,924,927,876/20,848
  6. Step 6: Final answer
    x = 92,331.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.