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Finding the Third Proportional to 7,266.50 and 11,249.25

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Solution

The third proportional to 7,266.50 and 11,249.25 is: 17,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.50 : 11,249.25 = 11,249.25 : x
  2. Step 2: Convert to fraction form
    7,266.50/11,249.25 = 11,249.25/x
  3. Step 3: Cross multiply
    7,266.50x = 11,249.25 × 11,249.25
  4. Step 4: Simplify right side
    7,266.50x = 126,545,625.56
  5. Step 5: Solve for x
    x = 126,545,625.56/7,266.50
  6. Step 6: Final answer
    x = 17,414.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.