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Finding the Third Proportional to 27,660 and 37,176

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Solution

The third proportional to 27,660 and 37,176 is: 49,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,660 : 37,176 = 37,176 : x
  2. Step 2: Convert to fraction form
    27,660/37,176 = 37,176/x
  3. Step 3: Cross multiply
    27,660x = 37,176 × 37,176
  4. Step 4: Simplify right side
    27,660x = 1,382,054,976
  5. Step 5: Solve for x
    x = 1,382,054,976/27,660
  6. Step 6: Final answer
    x = 49,965.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.