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Finding the Third Proportional to 6,719 and 13,982.75

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Solution

The third proportional to 6,719 and 13,982.75 is: 29,099.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719 : 13,982.75 = 13,982.75 : x
  2. Step 2: Convert to fraction form
    6,719/13,982.75 = 13,982.75/x
  3. Step 3: Cross multiply
    6,719x = 13,982.75 × 13,982.75
  4. Step 4: Simplify right side
    6,719x = 195,517,297.56
  5. Step 5: Solve for x
    x = 195,517,297.56/6,719
  6. Step 6: Final answer
    x = 29,099.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.