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Finding the Third Proportional to 20,589 and 44,301

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Solution

The third proportional to 20,589 and 44,301 is: 95,321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589 : 44,301 = 44,301 : x
  2. Step 2: Convert to fraction form
    20,589/44,301 = 44,301/x
  3. Step 3: Cross multiply
    20,589x = 44,301 × 44,301
  4. Step 4: Simplify right side
    20,589x = 1,962,578,601
  5. Step 5: Solve for x
    x = 1,962,578,601/20,589
  6. Step 6: Final answer
    x = 95,321.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.