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Finding the Third Proportional to 8,344 and 13,909

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Solution

The third proportional to 8,344 and 13,909 is: 23,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344 : 13,909 = 13,909 : x
  2. Step 2: Convert to fraction form
    8,344/13,909 = 13,909/x
  3. Step 3: Cross multiply
    8,344x = 13,909 × 13,909
  4. Step 4: Simplify right side
    8,344x = 193,460,281
  5. Step 5: Solve for x
    x = 193,460,281/8,344
  6. Step 6: Final answer
    x = 23,185.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.