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Finding the Third Proportional to 4,012 and 5,976

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Solution

The third proportional to 4,012 and 5,976 is: 8,901.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012 : 5,976 = 5,976 : x
  2. Step 2: Convert to fraction form
    4,012/5,976 = 5,976/x
  3. Step 3: Cross multiply
    4,012x = 5,976 × 5,976
  4. Step 4: Simplify right side
    4,012x = 35,712,576
  5. Step 5: Solve for x
    x = 35,712,576/4,012
  6. Step 6: Final answer
    x = 8,901.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.