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Finding the Third Proportional to 27,911 and 39,041

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Solution

The third proportional to 27,911 and 39,041 is: 54,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,911 : 39,041 = 39,041 : x
  2. Step 2: Convert to fraction form
    27,911/39,041 = 39,041/x
  3. Step 3: Cross multiply
    27,911x = 39,041 × 39,041
  4. Step 4: Simplify right side
    27,911x = 1,524,199,681
  5. Step 5: Solve for x
    x = 1,524,199,681/27,911
  6. Step 6: Final answer
    x = 54,609.28

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.