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Finding the Third Proportional to 11,846.25 and 22,173.75

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Solution

The third proportional to 11,846.25 and 22,173.75 is: 41,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.25 : 22,173.75 = 22,173.75 : x
  2. Step 2: Convert to fraction form
    11,846.25/22,173.75 = 22,173.75/x
  3. Step 3: Cross multiply
    11,846.25x = 22,173.75 × 22,173.75
  4. Step 4: Simplify right side
    11,846.25x = 491,675,189.06
  5. Step 5: Solve for x
    x = 491,675,189.06/11,846.25
  6. Step 6: Final answer
    x = 41,504.71

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.