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Finding the Third Proportional to 25,441 and 51,571

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Solution

The third proportional to 25,441 and 51,571 is: 104,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,441 : 51,571 = 51,571 : x
  2. Step 2: Convert to fraction form
    25,441/51,571 = 51,571/x
  3. Step 3: Cross multiply
    25,441x = 51,571 × 51,571
  4. Step 4: Simplify right side
    25,441x = 2,659,568,041
  5. Step 5: Solve for x
    x = 2,659,568,041/25,441
  6. Step 6: Final answer
    x = 104,538.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.