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Finding the Third Proportional to 4,091 and 8,529

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Solution

The third proportional to 4,091 and 8,529 is: 17,781.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091 : 8,529 = 8,529 : x
  2. Step 2: Convert to fraction form
    4,091/8,529 = 8,529/x
  3. Step 3: Cross multiply
    4,091x = 8,529 × 8,529
  4. Step 4: Simplify right side
    4,091x = 72,743,841
  5. Step 5: Solve for x
    x = 72,743,841/4,091
  6. Step 6: Final answer
    x = 17,781.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.