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Finding the Third Proportional to 1,982.81 and 3,306.66

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Solution

The third proportional to 1,982.81 and 3,306.66 is: 5,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.81 : 3,306.66 = 3,306.66 : x
  2. Step 2: Convert to fraction form
    1,982.81/3,306.66 = 3,306.66/x
  3. Step 3: Cross multiply
    1,982.81x = 3,306.66 × 3,306.66
  4. Step 4: Simplify right side
    1,982.81x = 10,933,975.56
  5. Step 5: Solve for x
    x = 10,933,975.56/1,982.81
  6. Step 6: Final answer
    x = 5,514.38

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.