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Finding the Third Proportional to 3,007.13 and 6,299.44

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Solution

The third proportional to 3,007.13 and 6,299.44 is: 13,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.13 : 6,299.44 = 6,299.44 : x
  2. Step 2: Convert to fraction form
    3,007.13/6,299.44 = 6,299.44/x
  3. Step 3: Cross multiply
    3,007.13x = 6,299.44 × 6,299.44
  4. Step 4: Simplify right side
    3,007.13x = 39,682,912.82
  5. Step 5: Solve for x
    x = 39,682,912.82/3,007.13
  6. Step 6: Final answer
    x = 13,196.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.