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Finding the Third Proportional to 1,514.81 and 3,311.44

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Solution

The third proportional to 1,514.81 and 3,311.44 is: 7,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.81 : 3,311.44 = 3,311.44 : x
  2. Step 2: Convert to fraction form
    1,514.81/3,311.44 = 3,311.44/x
  3. Step 3: Cross multiply
    1,514.81x = 3,311.44 × 3,311.44
  4. Step 4: Simplify right side
    1,514.81x = 10,965,618.32
  5. Step 5: Solve for x
    x = 10,965,618.32/1,514.81
  6. Step 6: Final answer
    x = 7,238.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.