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Finding the Third Proportional to 3,003.19 and 6,524.44

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Solution

The third proportional to 3,003.19 and 6,524.44 is: 14,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.19 : 6,524.44 = 6,524.44 : x
  2. Step 2: Convert to fraction form
    3,003.19/6,524.44 = 6,524.44/x
  3. Step 3: Cross multiply
    3,003.19x = 6,524.44 × 6,524.44
  4. Step 4: Simplify right side
    3,003.19x = 42,568,284.69
  5. Step 5: Solve for x
    x = 42,568,284.69/3,003.19
  6. Step 6: Final answer
    x = 14,174.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.