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Finding the Third Proportional to 24,183 and 50,552

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Solution

The third proportional to 24,183 and 50,552 is: 105,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,183 : 50,552 = 50,552 : x
  2. Step 2: Convert to fraction form
    24,183/50,552 = 50,552/x
  3. Step 3: Cross multiply
    24,183x = 50,552 × 50,552
  4. Step 4: Simplify right side
    24,183x = 2,555,504,704
  5. Step 5: Solve for x
    x = 2,555,504,704/24,183
  6. Step 6: Final answer
    x = 105,673.60

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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.