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Finding the Third Proportional to 8,164 and 11,912

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Solution

The third proportional to 8,164 and 11,912 is: 17,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164 : 11,912 = 11,912 : x
  2. Step 2: Convert to fraction form
    8,164/11,912 = 11,912/x
  3. Step 3: Cross multiply
    8,164x = 11,912 × 11,912
  4. Step 4: Simplify right side
    8,164x = 141,895,744
  5. Step 5: Solve for x
    x = 141,895,744/8,164
  6. Step 6: Final answer
    x = 17,380.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.