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Finding the Third Proportional to 27,241 and 40,895

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Solution

The third proportional to 27,241 and 40,895 is: 61,392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,241 : 40,895 = 40,895 : x
  2. Step 2: Convert to fraction form
    27,241/40,895 = 40,895/x
  3. Step 3: Cross multiply
    27,241x = 40,895 × 40,895
  4. Step 4: Simplify right side
    27,241x = 1,672,401,025
  5. Step 5: Solve for x
    x = 1,672,401,025/27,241
  6. Step 6: Final answer
    x = 61,392.79

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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.