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Finding the Third Proportional to 4,181 and 5,845

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Solution

The third proportional to 4,181 and 5,845 is: 8,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181 : 5,845 = 5,845 : x
  2. Step 2: Convert to fraction form
    4,181/5,845 = 5,845/x
  3. Step 3: Cross multiply
    4,181x = 5,845 × 5,845
  4. Step 4: Simplify right side
    4,181x = 34,164,025
  5. Step 5: Solve for x
    x = 34,164,025/4,181
  6. Step 6: Final answer
    x = 8,171.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.