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Finding the Third Proportional to 27,336 and 41,734

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Solution

The third proportional to 27,336 and 41,734 is: 63,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,336 : 41,734 = 41,734 : x
  2. Step 2: Convert to fraction form
    27,336/41,734 = 41,734/x
  3. Step 3: Cross multiply
    27,336x = 41,734 × 41,734
  4. Step 4: Simplify right side
    27,336x = 1,741,726,756
  5. Step 5: Solve for x
    x = 1,741,726,756/27,336
  6. Step 6: Final answer
    x = 63,715.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.