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Finding the Third Proportional to 936.28 and 1,969.59

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Solution

The third proportional to 936.28 and 1,969.59 is: 4,143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.28 : 1,969.59 = 1,969.59 : x
  2. Step 2: Convert to fraction form
    936.28/1,969.59 = 1,969.59/x
  3. Step 3: Cross multiply
    936.28x = 1,969.59 × 1,969.59
  4. Step 4: Simplify right side
    936.28x = 3,879,299.54
  5. Step 5: Solve for x
    x = 3,879,299.54/936.28
  6. Step 6: Final answer
    x = 4,143.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.