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Finding the Third Proportional to 27,450 and 41,166

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Solution

The third proportional to 27,450 and 41,166 is: 61,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,450 : 41,166 = 41,166 : x
  2. Step 2: Convert to fraction form
    27,450/41,166 = 41,166/x
  3. Step 3: Cross multiply
    27,450x = 41,166 × 41,166
  4. Step 4: Simplify right side
    27,450x = 1,694,639,556
  5. Step 5: Solve for x
    x = 1,694,639,556/27,450
  6. Step 6: Final answer
    x = 61,735.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.