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Finding the Third Proportional to 3,096 and 6,980

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Solution

The third proportional to 3,096 and 6,980 is: 15,736.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096 : 6,980 = 6,980 : x
  2. Step 2: Convert to fraction form
    3,096/6,980 = 6,980/x
  3. Step 3: Cross multiply
    3,096x = 6,980 × 6,980
  4. Step 4: Simplify right side
    3,096x = 48,720,400
  5. Step 5: Solve for x
    x = 48,720,400/3,096
  6. Step 6: Final answer
    x = 15,736.56

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.