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Finding the Third Proportional to 20,839.78 and 27,514.69

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Solution

The third proportional to 20,839.78 and 27,514.69 is: 36,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,839.78 : 27,514.69 = 27,514.69 : x
  2. Step 2: Convert to fraction form
    20,839.78/27,514.69 = 27,514.69/x
  3. Step 3: Cross multiply
    20,839.78x = 27,514.69 × 27,514.69
  4. Step 4: Simplify right side
    20,839.78x = 757,058,028.22
  5. Step 5: Solve for x
    x = 757,058,028.22/20,839.78
  6. Step 6: Final answer
    x = 36,327.54

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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.