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Finding the Third Proportional to 5,976 and 7,728

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Solution

The third proportional to 5,976 and 7,728 is: 9,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976 : 7,728 = 7,728 : x
  2. Step 2: Convert to fraction form
    5,976/7,728 = 7,728/x
  3. Step 3: Cross multiply
    5,976x = 7,728 × 7,728
  4. Step 4: Simplify right side
    5,976x = 59,721,984
  5. Step 5: Solve for x
    x = 59,721,984/5,976
  6. Step 6: Final answer
    x = 9,993.64

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.