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Finding the Third Proportional to 1,982.75 and 4,496.75

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Solution

The third proportional to 1,982.75 and 4,496.75 is: 10,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.75 : 4,496.75 = 4,496.75 : x
  2. Step 2: Convert to fraction form
    1,982.75/4,496.75 = 4,496.75/x
  3. Step 3: Cross multiply
    1,982.75x = 4,496.75 × 4,496.75
  4. Step 4: Simplify right side
    1,982.75x = 20,220,760.56
  5. Step 5: Solve for x
    x = 20,220,760.56/1,982.75
  6. Step 6: Final answer
    x = 10,198.34

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.