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Finding the Third Proportional to 2,678 and 5,641

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Solution

The third proportional to 2,678 and 5,641 is: 11,882.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678 : 5,641 = 5,641 : x
  2. Step 2: Convert to fraction form
    2,678/5,641 = 5,641/x
  3. Step 3: Cross multiply
    2,678x = 5,641 × 5,641
  4. Step 4: Simplify right side
    2,678x = 31,820,881
  5. Step 5: Solve for x
    x = 31,820,881/2,678
  6. Step 6: Final answer
    x = 11,882.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.