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Finding the Third Proportional to 3,448 and 7,682

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Solution

The third proportional to 3,448 and 7,682 is: 17,115.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448 : 7,682 = 7,682 : x
  2. Step 2: Convert to fraction form
    3,448/7,682 = 7,682/x
  3. Step 3: Cross multiply
    3,448x = 7,682 × 7,682
  4. Step 4: Simplify right side
    3,448x = 59,013,124
  5. Step 5: Solve for x
    x = 59,013,124/3,448
  6. Step 6: Final answer
    x = 17,115.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.