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Finding the Third Proportional to 26,928 and 41,121

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Solution

The third proportional to 26,928 and 41,121 is: 62,794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,928 : 41,121 = 41,121 : x
  2. Step 2: Convert to fraction form
    26,928/41,121 = 41,121/x
  3. Step 3: Cross multiply
    26,928x = 41,121 × 41,121
  4. Step 4: Simplify right side
    26,928x = 1,690,936,641
  5. Step 5: Solve for x
    x = 1,690,936,641/26,928
  6. Step 6: Final answer
    x = 62,794.74

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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.