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Finding the Third Proportional to 4,016 and 5,881

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Solution

The third proportional to 4,016 and 5,881 is: 8,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016 : 5,881 = 5,881 : x
  2. Step 2: Convert to fraction form
    4,016/5,881 = 5,881/x
  3. Step 3: Cross multiply
    4,016x = 5,881 × 5,881
  4. Step 4: Simplify right side
    4,016x = 34,586,161
  5. Step 5: Solve for x
    x = 34,586,161/4,016
  6. Step 6: Final answer
    x = 8,612.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.