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Finding the Third Proportional to 3,927 and 7,984.50

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Solution

The third proportional to 3,927 and 7,984.50 is: 16,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927 : 7,984.50 = 7,984.50 : x
  2. Step 2: Convert to fraction form
    3,927/7,984.50 = 7,984.50/x
  3. Step 3: Cross multiply
    3,927x = 7,984.50 × 7,984.50
  4. Step 4: Simplify right side
    3,927x = 63,752,240.25
  5. Step 5: Solve for x
    x = 63,752,240.25/3,927
  6. Step 6: Final answer
    x = 16,234.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.