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Finding the Third Proportional to 24,008 and 51,571

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Solution

The third proportional to 24,008 and 51,571 is: 110,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,008 : 51,571 = 51,571 : x
  2. Step 2: Convert to fraction form
    24,008/51,571 = 51,571/x
  3. Step 3: Cross multiply
    24,008x = 51,571 × 51,571
  4. Step 4: Simplify right side
    24,008x = 2,659,568,041
  5. Step 5: Solve for x
    x = 2,659,568,041/24,008
  6. Step 6: Final answer
    x = 110,778.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.