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Finding the Third Proportional to 3,198.38 and 6,806.25

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Solution

The third proportional to 3,198.38 and 6,806.25 is: 14,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.38 : 6,806.25 = 6,806.25 : x
  2. Step 2: Convert to fraction form
    3,198.38/6,806.25 = 6,806.25/x
  3. Step 3: Cross multiply
    3,198.38x = 6,806.25 × 6,806.25
  4. Step 4: Simplify right side
    3,198.38x = 46,325,039.06
  5. Step 5: Solve for x
    x = 46,325,039.06/3,198.38
  6. Step 6: Final answer
    x = 14,483.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.