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Finding the Third Proportional to 18,006 and 27,261

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Solution

The third proportional to 18,006 and 27,261 is: 41,273.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,006 : 27,261 = 27,261 : x
  2. Step 2: Convert to fraction form
    18,006/27,261 = 27,261/x
  3. Step 3: Cross multiply
    18,006x = 27,261 × 27,261
  4. Step 4: Simplify right side
    18,006x = 743,162,121
  5. Step 5: Solve for x
    x = 743,162,121/18,006
  6. Step 6: Final answer
    x = 41,273.03

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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.