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Finding the Third Proportional to 20,589 and 27,967

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Solution

The third proportional to 20,589 and 27,967 is: 37,988.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589 : 27,967 = 27,967 : x
  2. Step 2: Convert to fraction form
    20,589/27,967 = 27,967/x
  3. Step 3: Cross multiply
    20,589x = 27,967 × 27,967
  4. Step 4: Simplify right side
    20,589x = 782,153,089
  5. Step 5: Solve for x
    x = 782,153,089/20,589
  6. Step 6: Final answer
    x = 37,988.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.