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Finding the Third Proportional to 3,003 and 6,198.75

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Solution

The third proportional to 3,003 and 6,198.75 is: 12,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003 : 6,198.75 = 6,198.75 : x
  2. Step 2: Convert to fraction form
    3,003/6,198.75 = 6,198.75/x
  3. Step 3: Cross multiply
    3,003x = 6,198.75 × 6,198.75
  4. Step 4: Simplify right side
    3,003x = 38,424,501.56
  5. Step 5: Solve for x
    x = 38,424,501.56/3,003
  6. Step 6: Final answer
    x = 12,795.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.