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Finding the Third Proportional to 6,296 and 7,704

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Solution

The third proportional to 6,296 and 7,704 is: 9,426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296 : 7,704 = 7,704 : x
  2. Step 2: Convert to fraction form
    6,296/7,704 = 7,704/x
  3. Step 3: Cross multiply
    6,296x = 7,704 × 7,704
  4. Step 4: Simplify right side
    6,296x = 59,351,616
  5. Step 5: Solve for x
    x = 59,351,616/6,296
  6. Step 6: Final answer
    x = 9,426.88

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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.