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Finding the Third Proportional to 20,173 and 43,809

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Solution

The third proportional to 20,173 and 43,809 is: 95,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173 : 43,809 = 43,809 : x
  2. Step 2: Convert to fraction form
    20,173/43,809 = 43,809/x
  3. Step 3: Cross multiply
    20,173x = 43,809 × 43,809
  4. Step 4: Simplify right side
    20,173x = 1,919,228,481
  5. Step 5: Solve for x
    x = 1,919,228,481/20,173
  6. Step 6: Final answer
    x = 95,138.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.