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Finding the Third Proportional to 8,318 and 18,199

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Solution

The third proportional to 8,318 and 18,199 is: 39,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318 : 18,199 = 18,199 : x
  2. Step 2: Convert to fraction form
    8,318/18,199 = 18,199/x
  3. Step 3: Cross multiply
    8,318x = 18,199 × 18,199
  4. Step 4: Simplify right side
    8,318x = 331,203,601
  5. Step 5: Solve for x
    x = 331,203,601/8,318
  6. Step 6: Final answer
    x = 39,817.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.