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Finding the Third Proportional to 27,382 and 41,018

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Solution

The third proportional to 27,382 and 41,018 is: 61,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382 : 41,018 = 41,018 : x
  2. Step 2: Convert to fraction form
    27,382/41,018 = 41,018/x
  3. Step 3: Cross multiply
    27,382x = 41,018 × 41,018
  4. Step 4: Simplify right side
    27,382x = 1,682,476,324
  5. Step 5: Solve for x
    x = 1,682,476,324/27,382
  6. Step 6: Final answer
    x = 61,444.61

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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.