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Finding the Third Proportional to 8,338 and 12,912

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Solution

The third proportional to 8,338 and 12,912 is: 19,995.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338 : 12,912 = 12,912 : x
  2. Step 2: Convert to fraction form
    8,338/12,912 = 12,912/x
  3. Step 3: Cross multiply
    8,338x = 12,912 × 12,912
  4. Step 4: Simplify right side
    8,338x = 166,719,744
  5. Step 5: Solve for x
    x = 166,719,744/8,338
  6. Step 6: Final answer
    x = 19,995.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.