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Finding the Third Proportional to 26,493 and 39,741

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Solution

The third proportional to 26,493 and 39,741 is: 59,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,493 : 39,741 = 39,741 : x
  2. Step 2: Convert to fraction form
    26,493/39,741 = 39,741/x
  3. Step 3: Cross multiply
    26,493x = 39,741 × 39,741
  4. Step 4: Simplify right side
    26,493x = 1,579,347,081
  5. Step 5: Solve for x
    x = 1,579,347,081/26,493
  6. Step 6: Final answer
    x = 59,613.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.