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Finding the Third Proportional to 20,198 and 43,589

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Solution

The third proportional to 20,198 and 43,589 is: 94,068.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198 : 43,589 = 43,589 : x
  2. Step 2: Convert to fraction form
    20,198/43,589 = 43,589/x
  3. Step 3: Cross multiply
    20,198x = 43,589 × 43,589
  4. Step 4: Simplify right side
    20,198x = 1,900,000,921
  5. Step 5: Solve for x
    x = 1,900,000,921/20,198
  6. Step 6: Final answer
    x = 94,068.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.