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Finding the Third Proportional to 24,734 and 50,683

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Solution

The third proportional to 24,734 and 50,683 is: 103,855.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,734 : 50,683 = 50,683 : x
  2. Step 2: Convert to fraction form
    24,734/50,683 = 50,683/x
  3. Step 3: Cross multiply
    24,734x = 50,683 × 50,683
  4. Step 4: Simplify right side
    24,734x = 2,568,766,489
  5. Step 5: Solve for x
    x = 2,568,766,489/24,734
  6. Step 6: Final answer
    x = 103,855.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.