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Finding the Third Proportional to 4,704 and 5,728

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Solution

The third proportional to 4,704 and 5,728 is: 6,974.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704 : 5,728 = 5,728 : x
  2. Step 2: Convert to fraction form
    4,704/5,728 = 5,728/x
  3. Step 3: Cross multiply
    4,704x = 5,728 × 5,728
  4. Step 4: Simplify right side
    4,704x = 32,809,984
  5. Step 5: Solve for x
    x = 32,809,984/4,704
  6. Step 6: Final answer
    x = 6,974.91

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.