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Finding the Third Proportional to 6,330 and 7,734

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Solution

The third proportional to 6,330 and 7,734 is: 9,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330 : 7,734 = 7,734 : x
  2. Step 2: Convert to fraction form
    6,330/7,734 = 7,734/x
  3. Step 3: Cross multiply
    6,330x = 7,734 × 7,734
  4. Step 4: Simplify right side
    6,330x = 59,814,756
  5. Step 5: Solve for x
    x = 59,814,756/6,330
  6. Step 6: Final answer
    x = 9,449.41

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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.