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Finding the Third Proportional to 20,171 and 26,186

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Solution

The third proportional to 20,171 and 26,186 is: 33,994.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171 : 26,186 = 26,186 : x
  2. Step 2: Convert to fraction form
    20,171/26,186 = 26,186/x
  3. Step 3: Cross multiply
    20,171x = 26,186 × 26,186
  4. Step 4: Simplify right side
    20,171x = 685,706,596
  5. Step 5: Solve for x
    x = 685,706,596/20,171
  6. Step 6: Final answer
    x = 33,994.68

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.