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Finding the Third Proportional to 2,085 and 3,227

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Solution

The third proportional to 2,085 and 3,227 is: 4,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085 : 3,227 = 3,227 : x
  2. Step 2: Convert to fraction form
    2,085/3,227 = 3,227/x
  3. Step 3: Cross multiply
    2,085x = 3,227 × 3,227
  4. Step 4: Simplify right side
    2,085x = 10,413,529
  5. Step 5: Solve for x
    x = 10,413,529/2,085
  6. Step 6: Final answer
    x = 4,994.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.