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Finding the Third Proportional to 6,698 and 8,075

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Solution

The third proportional to 6,698 and 8,075 is: 9,735.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698 : 8,075 = 8,075 : x
  2. Step 2: Convert to fraction form
    6,698/8,075 = 8,075/x
  3. Step 3: Cross multiply
    6,698x = 8,075 × 8,075
  4. Step 4: Simplify right side
    6,698x = 65,205,625
  5. Step 5: Solve for x
    x = 65,205,625/6,698
  6. Step 6: Final answer
    x = 9,735.09

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.