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Finding the Third Proportional to 27,391 and 41,019

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Solution

The third proportional to 27,391 and 41,019 is: 61,427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,391 : 41,019 = 41,019 : x
  2. Step 2: Convert to fraction form
    27,391/41,019 = 41,019/x
  3. Step 3: Cross multiply
    27,391x = 41,019 × 41,019
  4. Step 4: Simplify right side
    27,391x = 1,682,558,361
  5. Step 5: Solve for x
    x = 1,682,558,361/27,391
  6. Step 6: Final answer
    x = 61,427.42

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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.