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Finding the Third Proportional to 833.91 and 1,796.91

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Solution

The third proportional to 833.91 and 1,796.91 is: 3,871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.91 : 1,796.91 = 1,796.91 : x
  2. Step 2: Convert to fraction form
    833.91/1,796.91 = 1,796.91/x
  3. Step 3: Cross multiply
    833.91x = 1,796.91 × 1,796.91
  4. Step 4: Simplify right side
    833.91x = 3,228,872.07
  5. Step 5: Solve for x
    x = 3,228,872.07/833.91
  6. Step 6: Final answer
    x = 3,871.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.