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Finding the Third Proportional to 20,181 and 26,647

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Solution

The third proportional to 20,181 and 26,647 is: 35,184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181 : 26,647 = 26,647 : x
  2. Step 2: Convert to fraction form
    20,181/26,647 = 26,647/x
  3. Step 3: Cross multiply
    20,181x = 26,647 × 26,647
  4. Step 4: Simplify right side
    20,181x = 710,062,609
  5. Step 5: Solve for x
    x = 710,062,609/20,181
  6. Step 6: Final answer
    x = 35,184.71

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.