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Finding the Third Proportional to 829.97 and 1,797.47

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Solution

The third proportional to 829.97 and 1,797.47 is: 3,892.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.97 : 1,797.47 = 1,797.47 : x
  2. Step 2: Convert to fraction form
    829.97/1,797.47 = 1,797.47/x
  3. Step 3: Cross multiply
    829.97x = 1,797.47 × 1,797.47
  4. Step 4: Simplify right side
    829.97x = 3,230,893.91
  5. Step 5: Solve for x
    x = 3,230,893.91/829.97
  6. Step 6: Final answer
    x = 3,892.79

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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.