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Finding the Third Proportional to 20,539.25 and 33,067.75

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Solution

The third proportional to 20,539.25 and 33,067.75 is: 53,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,539.25 : 33,067.75 = 33,067.75 : x
  2. Step 2: Convert to fraction form
    20,539.25/33,067.75 = 33,067.75/x
  3. Step 3: Cross multiply
    20,539.25x = 33,067.75 × 33,067.75
  4. Step 4: Simplify right side
    20,539.25x = 1,093,476,090.06
  5. Step 5: Solve for x
    x = 1,093,476,090.06/20,539.25
  6. Step 6: Final answer
    x = 53,238.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.