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Finding the Third Proportional to 3,406 and 3,682

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Solution

The third proportional to 3,406 and 3,682 is: 3,980.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406 : 3,682 = 3,682 : x
  2. Step 2: Convert to fraction form
    3,406/3,682 = 3,682/x
  3. Step 3: Cross multiply
    3,406x = 3,682 × 3,682
  4. Step 4: Simplify right side
    3,406x = 13,557,124
  5. Step 5: Solve for x
    x = 13,557,124/3,406
  6. Step 6: Final answer
    x = 3,980.37

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.