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Finding the Third Proportional to 1,697 and 3,682

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Solution

The third proportional to 1,697 and 3,682 is: 7,988.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697 : 3,682 = 3,682 : x
  2. Step 2: Convert to fraction form
    1,697/3,682 = 3,682/x
  3. Step 3: Cross multiply
    1,697x = 3,682 × 3,682
  4. Step 4: Simplify right side
    1,697x = 13,557,124
  5. Step 5: Solve for x
    x = 13,557,124/1,697
  6. Step 6: Final answer
    x = 7,988.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.