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Finding the Third Proportional to 3,096 and 5,458

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Solution

The third proportional to 3,096 and 5,458 is: 9,622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096 : 5,458 = 5,458 : x
  2. Step 2: Convert to fraction form
    3,096/5,458 = 5,458/x
  3. Step 3: Cross multiply
    3,096x = 5,458 × 5,458
  4. Step 4: Simplify right side
    3,096x = 29,789,764
  5. Step 5: Solve for x
    x = 29,789,764/3,096
  6. Step 6: Final answer
    x = 9,622.02

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.