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Finding the Third Proportional to 26,834 and 40,493

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Solution

The third proportional to 26,834 and 40,493 is: 61,104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,834 : 40,493 = 40,493 : x
  2. Step 2: Convert to fraction form
    26,834/40,493 = 40,493/x
  3. Step 3: Cross multiply
    26,834x = 40,493 × 40,493
  4. Step 4: Simplify right side
    26,834x = 1,639,683,049
  5. Step 5: Solve for x
    x = 1,639,683,049/26,834
  6. Step 6: Final answer
    x = 61,104.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.