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Finding the Third Proportional to 2,198.39 and 2,933.09

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Solution

The third proportional to 2,198.39 and 2,933.09 is: 3,913.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.39 : 2,933.09 = 2,933.09 : x
  2. Step 2: Convert to fraction form
    2,198.39/2,933.09 = 2,933.09/x
  3. Step 3: Cross multiply
    2,198.39x = 2,933.09 × 2,933.09
  4. Step 4: Simplify right side
    2,198.39x = 8,602,993.12
  5. Step 5: Solve for x
    x = 8,602,993.12/2,198.39
  6. Step 6: Final answer
    x = 3,913.31

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.