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Finding the Third Proportional to 2,085 and 3,302

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Solution

The third proportional to 2,085 and 3,302 is: 5,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085 : 3,302 = 3,302 : x
  2. Step 2: Convert to fraction form
    2,085/3,302 = 3,302/x
  3. Step 3: Cross multiply
    2,085x = 3,302 × 3,302
  4. Step 4: Simplify right side
    2,085x = 10,903,204
  5. Step 5: Solve for x
    x = 10,903,204/2,085
  6. Step 6: Final answer
    x = 5,229.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.