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Finding the Third Proportional to 3,678 and 5,697

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Solution

The third proportional to 3,678 and 5,697 is: 8,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678 : 5,697 = 5,697 : x
  2. Step 2: Convert to fraction form
    3,678/5,697 = 5,697/x
  3. Step 3: Cross multiply
    3,678x = 5,697 × 5,697
  4. Step 4: Simplify right side
    3,678x = 32,455,809
  5. Step 5: Solve for x
    x = 32,455,809/3,678
  6. Step 6: Final answer
    x = 8,824.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.