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Finding the Third Proportional to 2,085 and 3,161

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Solution

The third proportional to 2,085 and 3,161 is: 4,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085 : 3,161 = 3,161 : x
  2. Step 2: Convert to fraction form
    2,085/3,161 = 3,161/x
  3. Step 3: Cross multiply
    2,085x = 3,161 × 3,161
  4. Step 4: Simplify right side
    2,085x = 9,991,921
  5. Step 5: Solve for x
    x = 9,991,921/2,085
  6. Step 6: Final answer
    x = 4,792.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.