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Finding the Third Proportional to 1,808.26 and 3,923.12

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Solution

The third proportional to 1,808.26 and 3,923.12 is: 8,511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.26 : 3,923.12 = 3,923.12 : x
  2. Step 2: Convert to fraction form
    1,808.26/3,923.12 = 3,923.12/x
  3. Step 3: Cross multiply
    1,808.26x = 3,923.12 × 3,923.12
  4. Step 4: Simplify right side
    1,808.26x = 15,390,879.12
  5. Step 5: Solve for x
    x = 15,390,879.12/1,808.26
  6. Step 6: Final answer
    x = 8,511.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.