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Finding the Third Proportional to 3,198 and 3,616.50

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Solution

The third proportional to 3,198 and 3,616.50 is: 4,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198 : 3,616.50 = 3,616.50 : x
  2. Step 2: Convert to fraction form
    3,198/3,616.50 = 3,616.50/x
  3. Step 3: Cross multiply
    3,198x = 3,616.50 × 3,616.50
  4. Step 4: Simplify right side
    3,198x = 13,079,072.25
  5. Step 5: Solve for x
    x = 13,079,072.25/3,198
  6. Step 6: Final answer
    x = 4,089.77

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.