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Finding the Third Proportional to 11,995.50 and 25,631

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Solution

The third proportional to 11,995.50 and 25,631 is: 54,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,995.50 : 25,631 = 25,631 : x
  2. Step 2: Convert to fraction form
    11,995.50/25,631 = 25,631/x
  3. Step 3: Cross multiply
    11,995.50x = 25,631 × 25,631
  4. Step 4: Simplify right side
    11,995.50x = 656,948,161
  5. Step 5: Solve for x
    x = 656,948,161/11,995.50
  6. Step 6: Final answer
    x = 54,766.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.