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Finding the Third Proportional to 24,111 and 50,067

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Solution

The third proportional to 24,111 and 50,067 is: 103,965.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,111 : 50,067 = 50,067 : x
  2. Step 2: Convert to fraction form
    24,111/50,067 = 50,067/x
  3. Step 3: Cross multiply
    24,111x = 50,067 × 50,067
  4. Step 4: Simplify right side
    24,111x = 2,506,704,489
  5. Step 5: Solve for x
    x = 2,506,704,489/24,111
  6. Step 6: Final answer
    x = 103,965.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.