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Finding the Third Proportional to 829.31 and 1,814.44

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Solution

The third proportional to 829.31 and 1,814.44 is: 3,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.31 : 1,814.44 = 1,814.44 : x
  2. Step 2: Convert to fraction form
    829.31/1,814.44 = 1,814.44/x
  3. Step 3: Cross multiply
    829.31x = 1,814.44 × 1,814.44
  4. Step 4: Simplify right side
    829.31x = 3,292,183.44
  5. Step 5: Solve for x
    x = 3,292,183.44/829.31
  6. Step 6: Final answer
    x = 3,969.77

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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.