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Finding the Third Proportional to 11,277 and 23,625

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Solution

The third proportional to 11,277 and 23,625 is: 49,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,277 : 23,625 = 23,625 : x
  2. Step 2: Convert to fraction form
    11,277/23,625 = 23,625/x
  3. Step 3: Cross multiply
    11,277x = 23,625 × 23,625
  4. Step 4: Simplify right side
    11,277x = 558,140,625
  5. Step 5: Solve for x
    x = 558,140,625/11,277
  6. Step 6: Final answer
    x = 49,493.72

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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.