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Finding the Third Proportional to 896.25 and 1,936.78

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Solution

The third proportional to 896.25 and 1,936.78 is: 4,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.25 : 1,936.78 = 1,936.78 : x
  2. Step 2: Convert to fraction form
    896.25/1,936.78 = 1,936.78/x
  3. Step 3: Cross multiply
    896.25x = 1,936.78 × 1,936.78
  4. Step 4: Simplify right side
    896.25x = 3,751,121.61
  5. Step 5: Solve for x
    x = 3,751,121.61/896.25
  6. Step 6: Final answer
    x = 4,185.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.