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Finding the Third Proportional to 3,678 and 7,980

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Solution

The third proportional to 3,678 and 7,980 is: 17,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678 : 7,980 = 7,980 : x
  2. Step 2: Convert to fraction form
    3,678/7,980 = 7,980/x
  3. Step 3: Cross multiply
    3,678x = 7,980 × 7,980
  4. Step 4: Simplify right side
    3,678x = 63,680,400
  5. Step 5: Solve for x
    x = 63,680,400/3,678
  6. Step 6: Final answer
    x = 17,313.87

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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.