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Finding the Third Proportional to 23,837 and 35,067

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Solution

The third proportional to 23,837 and 35,067 is: 51,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,837 : 35,067 = 35,067 : x
  2. Step 2: Convert to fraction form
    23,837/35,067 = 35,067/x
  3. Step 3: Cross multiply
    23,837x = 35,067 × 35,067
  4. Step 4: Simplify right side
    23,837x = 1,229,694,489
  5. Step 5: Solve for x
    x = 1,229,694,489/23,837
  6. Step 6: Final answer
    x = 51,587.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.