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Finding the Third Proportional to 3,247.75 and 7,962.05

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Solution

The third proportional to 3,247.75 and 7,962.05 is: 19,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.75 : 7,962.05 = 7,962.05 : x
  2. Step 2: Convert to fraction form
    3,247.75/7,962.05 = 7,962.05/x
  3. Step 3: Cross multiply
    3,247.75x = 7,962.05 × 7,962.05
  4. Step 4: Simplify right side
    3,247.75x = 63,394,190.44
  5. Step 5: Solve for x
    x = 63,394,190.44/3,247.75
  6. Step 6: Final answer
    x = 19,519.41

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.