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Finding the Third Proportional to 17,741 and 26,981

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Solution

The third proportional to 17,741 and 26,981 is: 41,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741 : 26,981 = 26,981 : x
  2. Step 2: Convert to fraction form
    17,741/26,981 = 26,981/x
  3. Step 3: Cross multiply
    17,741x = 26,981 × 26,981
  4. Step 4: Simplify right side
    17,741x = 727,974,361
  5. Step 5: Solve for x
    x = 727,974,361/17,741
  6. Step 6: Final answer
    x = 41,033.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.