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Finding the Third Proportional to 24,615 and 50,682

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Solution

The third proportional to 24,615 and 50,682 is: 104,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,615 : 50,682 = 50,682 : x
  2. Step 2: Convert to fraction form
    24,615/50,682 = 50,682/x
  3. Step 3: Cross multiply
    24,615x = 50,682 × 50,682
  4. Step 4: Simplify right side
    24,615x = 2,568,665,124
  5. Step 5: Solve for x
    x = 2,568,665,124/24,615
  6. Step 6: Final answer
    x = 104,353.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.