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Finding the Third Proportional to 33,686 and 50,952

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Solution

The third proportional to 33,686 and 50,952 is: 77,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,686 : 50,952 = 50,952 : x
  2. Step 2: Convert to fraction form
    33,686/50,952 = 50,952/x
  3. Step 3: Cross multiply
    33,686x = 50,952 × 50,952
  4. Step 4: Simplify right side
    33,686x = 2,596,106,304
  5. Step 5: Solve for x
    x = 2,596,106,304/33,686
  6. Step 6: Final answer
    x = 77,067.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.