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Finding the Third Proportional to 11,919.50 and 25,661

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Solution

The third proportional to 11,919.50 and 25,661 is: 55,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.50 : 25,661 = 25,661 : x
  2. Step 2: Convert to fraction form
    11,919.50/25,661 = 25,661/x
  3. Step 3: Cross multiply
    11,919.50x = 25,661 × 25,661
  4. Step 4: Simplify right side
    11,919.50x = 658,486,921
  5. Step 5: Solve for x
    x = 658,486,921/11,919.50
  6. Step 6: Final answer
    x = 55,244.51

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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.