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Finding the Third Proportional to 3,189 and 6,993.38

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Solution

The third proportional to 3,189 and 6,993.38 is: 15,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189 : 6,993.38 = 6,993.38 : x
  2. Step 2: Convert to fraction form
    3,189/6,993.38 = 6,993.38/x
  3. Step 3: Cross multiply
    3,189x = 6,993.38 × 6,993.38
  4. Step 4: Simplify right side
    3,189x = 48,907,293.89
  5. Step 5: Solve for x
    x = 48,907,293.89/3,189
  6. Step 6: Final answer
    x = 15,336.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.