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Finding the Third Proportional to 18,011 and 27,265

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Solution

The third proportional to 18,011 and 27,265 is: 41,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,011 : 27,265 = 27,265 : x
  2. Step 2: Convert to fraction form
    18,011/27,265 = 27,265/x
  3. Step 3: Cross multiply
    18,011x = 27,265 × 27,265
  4. Step 4: Simplify right side
    18,011x = 743,380,225
  5. Step 5: Solve for x
    x = 743,380,225/18,011
  6. Step 6: Final answer
    x = 41,273.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.