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Finding the Third Proportional to 3,096 and 3,372

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Solution

The third proportional to 3,096 and 3,372 is: 3,672.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096 : 3,372 = 3,372 : x
  2. Step 2: Convert to fraction form
    3,096/3,372 = 3,372/x
  3. Step 3: Cross multiply
    3,096x = 3,372 × 3,372
  4. Step 4: Simplify right side
    3,096x = 11,370,384
  5. Step 5: Solve for x
    x = 11,370,384/3,096
  6. Step 6: Final answer
    x = 3,672.60

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.