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Finding the Third Proportional to 7,024 and 13,868

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Solution

The third proportional to 7,024 and 13,868 is: 27,380.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024 : 13,868 = 13,868 : x
  2. Step 2: Convert to fraction form
    7,024/13,868 = 13,868/x
  3. Step 3: Cross multiply
    7,024x = 13,868 × 13,868
  4. Step 4: Simplify right side
    7,024x = 192,321,424
  5. Step 5: Solve for x
    x = 192,321,424/7,024
  6. Step 6: Final answer
    x = 27,380.61

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.