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Finding the Third Proportional to 24,208 and 36,568

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Solution

The third proportional to 24,208 and 36,568 is: 55,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,208 : 36,568 = 36,568 : x
  2. Step 2: Convert to fraction form
    24,208/36,568 = 36,568/x
  3. Step 3: Cross multiply
    24,208x = 36,568 × 36,568
  4. Step 4: Simplify right side
    24,208x = 1,337,218,624
  5. Step 5: Solve for x
    x = 1,337,218,624/24,208
  6. Step 6: Final answer
    x = 55,238.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.