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Finding the Third Proportional to 20,153 and 43,891

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Solution

The third proportional to 20,153 and 43,891 is: 95,589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153 : 43,891 = 43,891 : x
  2. Step 2: Convert to fraction form
    20,153/43,891 = 43,891/x
  3. Step 3: Cross multiply
    20,153x = 43,891 × 43,891
  4. Step 4: Simplify right side
    20,153x = 1,926,419,881
  5. Step 5: Solve for x
    x = 1,926,419,881/20,153
  6. Step 6: Final answer
    x = 95,589.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.