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Finding the Third Proportional to 3,976 and 5,745

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Solution

The third proportional to 3,976 and 5,745 is: 8,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976 : 5,745 = 5,745 : x
  2. Step 2: Convert to fraction form
    3,976/5,745 = 5,745/x
  3. Step 3: Cross multiply
    3,976x = 5,745 × 5,745
  4. Step 4: Simplify right side
    3,976x = 33,005,025
  5. Step 5: Solve for x
    x = 33,005,025/3,976
  6. Step 6: Final answer
    x = 8,301.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.