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Finding the Third Proportional to 6,296 and 6,896

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Solution

The third proportional to 6,296 and 6,896 is: 7,553.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296 : 6,896 = 6,896 : x
  2. Step 2: Convert to fraction form
    6,296/6,896 = 6,896/x
  3. Step 3: Cross multiply
    6,296x = 6,896 × 6,896
  4. Step 4: Simplify right side
    6,296x = 47,554,816
  5. Step 5: Solve for x
    x = 47,554,816/6,296
  6. Step 6: Final answer
    x = 7,553.18

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.