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Finding the Third Proportional to 7,728 and 10,896

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Solution

The third proportional to 7,728 and 10,896 is: 15,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728 : 10,896 = 10,896 : x
  2. Step 2: Convert to fraction form
    7,728/10,896 = 10,896/x
  3. Step 3: Cross multiply
    7,728x = 10,896 × 10,896
  4. Step 4: Simplify right side
    7,728x = 118,722,816
  5. Step 5: Solve for x
    x = 118,722,816/7,728
  6. Step 6: Final answer
    x = 15,362.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.