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Finding the Third Proportional to 27,041 and 40,336

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Solution

The third proportional to 27,041 and 40,336 is: 60,167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,041 : 40,336 = 40,336 : x
  2. Step 2: Convert to fraction form
    27,041/40,336 = 40,336/x
  3. Step 3: Cross multiply
    27,041x = 40,336 × 40,336
  4. Step 4: Simplify right side
    27,041x = 1,626,992,896
  5. Step 5: Solve for x
    x = 1,626,992,896/27,041
  6. Step 6: Final answer
    x = 60,167.63

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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.