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Finding the Third Proportional to 51,824 and 80,027

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Solution

The third proportional to 51,824 and 80,027 is: 123,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,824 : 80,027 = 80,027 : x
  2. Step 2: Convert to fraction form
    51,824/80,027 = 80,027/x
  3. Step 3: Cross multiply
    51,824x = 80,027 × 80,027
  4. Step 4: Simplify right side
    51,824x = 6,404,320,729
  5. Step 5: Solve for x
    x = 6,404,320,729/51,824
  6. Step 6: Final answer
    x = 123,578.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.