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Finding the Third Proportional to 1,514.85 and 3,213.11

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Solution

The third proportional to 1,514.85 and 3,213.11 is: 6,815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.85 : 3,213.11 = 3,213.11 : x
  2. Step 2: Convert to fraction form
    1,514.85/3,213.11 = 3,213.11/x
  3. Step 3: Cross multiply
    1,514.85x = 3,213.11 × 3,213.11
  4. Step 4: Simplify right side
    1,514.85x = 10,324,046.75
  5. Step 5: Solve for x
    x = 10,324,046.75/1,514.85
  6. Step 6: Final answer
    x = 6,815.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.