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Finding the Third Proportional to 11,950 and 25,325

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Solution

The third proportional to 11,950 and 25,325 is: 53,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950 : 25,325 = 25,325 : x
  2. Step 2: Convert to fraction form
    11,950/25,325 = 25,325/x
  3. Step 3: Cross multiply
    11,950x = 25,325 × 25,325
  4. Step 4: Simplify right side
    11,950x = 641,355,625
  5. Step 5: Solve for x
    x = 641,355,625/11,950
  6. Step 6: Final answer
    x = 53,669.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.