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Finding the Third Proportional to 24,594 and 35,067

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Solution

The third proportional to 24,594 and 35,067 is: 49,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,594 : 35,067 = 35,067 : x
  2. Step 2: Convert to fraction form
    24,594/35,067 = 35,067/x
  3. Step 3: Cross multiply
    24,594x = 35,067 × 35,067
  4. Step 4: Simplify right side
    24,594x = 1,229,694,489
  5. Step 5: Solve for x
    x = 1,229,694,489/24,594
  6. Step 6: Final answer
    x = 49,999.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.