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Finding the Third Proportional to 891.33 and 1,839.47

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Solution

The third proportional to 891.33 and 1,839.47 is: 3,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.33 : 1,839.47 = 1,839.47 : x
  2. Step 2: Convert to fraction form
    891.33/1,839.47 = 1,839.47/x
  3. Step 3: Cross multiply
    891.33x = 1,839.47 × 1,839.47
  4. Step 4: Simplify right side
    891.33x = 3,383,645.28
  5. Step 5: Solve for x
    x = 3,383,645.28/891.33
  6. Step 6: Final answer
    x = 3,796.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.