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Finding the Third Proportional to 8,177 and 17,909

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Solution

The third proportional to 8,177 and 17,909 is: 39,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177 : 17,909 = 17,909 : x
  2. Step 2: Convert to fraction form
    8,177/17,909 = 17,909/x
  3. Step 3: Cross multiply
    8,177x = 17,909 × 17,909
  4. Step 4: Simplify right side
    8,177x = 320,732,281
  5. Step 5: Solve for x
    x = 320,732,281/8,177
  6. Step 6: Final answer
    x = 39,223.71

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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.