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Finding the Third Proportional to 3,186 and 3,722

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Solution

The third proportional to 3,186 and 3,722 is: 4,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186 : 3,722 = 3,722 : x
  2. Step 2: Convert to fraction form
    3,186/3,722 = 3,722/x
  3. Step 3: Cross multiply
    3,186x = 3,722 × 3,722
  4. Step 4: Simplify right side
    3,186x = 13,853,284
  5. Step 5: Solve for x
    x = 13,853,284/3,186
  6. Step 6: Final answer
    x = 4,348.17

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.