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Finding the Third Proportional to 6,434 and 8,529

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Solution

The third proportional to 6,434 and 8,529 is: 11,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434 : 8,529 = 8,529 : x
  2. Step 2: Convert to fraction form
    6,434/8,529 = 8,529/x
  3. Step 3: Cross multiply
    6,434x = 8,529 × 8,529
  4. Step 4: Simplify right side
    6,434x = 72,743,841
  5. Step 5: Solve for x
    x = 72,743,841/6,434
  6. Step 6: Final answer
    x = 11,306.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.