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Finding the Third Proportional to 1,678 and 3,268

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Solution

The third proportional to 1,678 and 3,268 is: 6,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678 : 3,268 = 3,268 : x
  2. Step 2: Convert to fraction form
    1,678/3,268 = 3,268/x
  3. Step 3: Cross multiply
    1,678x = 3,268 × 3,268
  4. Step 4: Simplify right side
    1,678x = 10,679,824
  5. Step 5: Solve for x
    x = 10,679,824/1,678
  6. Step 6: Final answer
    x = 6,364.62

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.