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Finding the Third Proportional to 3,837 and 7,969.50

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Solution

The third proportional to 3,837 and 7,969.50 is: 16,552.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837 : 7,969.50 = 7,969.50 : x
  2. Step 2: Convert to fraction form
    3,837/7,969.50 = 7,969.50/x
  3. Step 3: Cross multiply
    3,837x = 7,969.50 × 7,969.50
  4. Step 4: Simplify right side
    3,837x = 63,512,930.25
  5. Step 5: Solve for x
    x = 63,512,930.25/3,837
  6. Step 6: Final answer
    x = 16,552.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.