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Finding the Third Proportional to 4,091 and 5,761

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Solution

The third proportional to 4,091 and 5,761 is: 8,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091 : 5,761 = 5,761 : x
  2. Step 2: Convert to fraction form
    4,091/5,761 = 5,761/x
  3. Step 3: Cross multiply
    4,091x = 5,761 × 5,761
  4. Step 4: Simplify right side
    4,091x = 33,189,121
  5. Step 5: Solve for x
    x = 33,189,121/4,091
  6. Step 6: Final answer
    x = 8,112.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.