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Finding the Third Proportional to 1,706 and 3,734

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Solution

The third proportional to 1,706 and 3,734 is: 8,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706 : 3,734 = 3,734 : x
  2. Step 2: Convert to fraction form
    1,706/3,734 = 3,734/x
  3. Step 3: Cross multiply
    1,706x = 3,734 × 3,734
  4. Step 4: Simplify right side
    1,706x = 13,942,756
  5. Step 5: Solve for x
    x = 13,942,756/1,706
  6. Step 6: Final answer
    x = 8,172.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.