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Finding the Third Proportional to 26,604 and 41,734

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Solution

The third proportional to 26,604 and 41,734 is: 65,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,604 : 41,734 = 41,734 : x
  2. Step 2: Convert to fraction form
    26,604/41,734 = 41,734/x
  3. Step 3: Cross multiply
    26,604x = 41,734 × 41,734
  4. Step 4: Simplify right side
    26,604x = 1,741,726,756
  5. Step 5: Solve for x
    x = 1,741,726,756/26,604
  6. Step 6: Final answer
    x = 65,468.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.