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Finding the Third Proportional to 24,243 and 50,682

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Solution

The third proportional to 24,243 and 50,682 is: 105,954.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,243 : 50,682 = 50,682 : x
  2. Step 2: Convert to fraction form
    24,243/50,682 = 50,682/x
  3. Step 3: Cross multiply
    24,243x = 50,682 × 50,682
  4. Step 4: Simplify right side
    24,243x = 2,568,665,124
  5. Step 5: Solve for x
    x = 2,568,665,124/24,243
  6. Step 6: Final answer
    x = 105,954.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.