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Finding the Third Proportional to 27,441 and 40,981

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Solution

The third proportional to 27,441 and 40,981 is: 61,201.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,441 : 40,981 = 40,981 : x
  2. Step 2: Convert to fraction form
    27,441/40,981 = 40,981/x
  3. Step 3: Cross multiply
    27,441x = 40,981 × 40,981
  4. Step 4: Simplify right side
    27,441x = 1,679,442,361
  5. Step 5: Solve for x
    x = 1,679,442,361/27,441
  6. Step 6: Final answer
    x = 61,201.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.