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Finding the Third Proportional to 1,882.13 and 3,958.31

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Solution

The third proportional to 1,882.13 and 3,958.31 is: 8,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.13 : 3,958.31 = 3,958.31 : x
  2. Step 2: Convert to fraction form
    1,882.13/3,958.31 = 3,958.31/x
  3. Step 3: Cross multiply
    1,882.13x = 3,958.31 × 3,958.31
  4. Step 4: Simplify right side
    1,882.13x = 15,668,237.85
  5. Step 5: Solve for x
    x = 15,668,237.85/1,882.13
  6. Step 6: Final answer
    x = 8,324.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.