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Finding the Third Proportional to 811.27 and 1,961.72

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Solution

The third proportional to 811.27 and 1,961.72 is: 4,743.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.27 : 1,961.72 = 1,961.72 : x
  2. Step 2: Convert to fraction form
    811.27/1,961.72 = 1,961.72/x
  3. Step 3: Cross multiply
    811.27x = 1,961.72 × 1,961.72
  4. Step 4: Simplify right side
    811.27x = 3,848,340.45
  5. Step 5: Solve for x
    x = 3,848,340.45/811.27
  6. Step 6: Final answer
    x = 4,743.63

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.