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Finding the Third Proportional to 26,954 and 40,975

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Solution

The third proportional to 26,954 and 40,975 is: 62,289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,954 : 40,975 = 40,975 : x
  2. Step 2: Convert to fraction form
    26,954/40,975 = 40,975/x
  3. Step 3: Cross multiply
    26,954x = 40,975 × 40,975
  4. Step 4: Simplify right side
    26,954x = 1,678,950,625
  5. Step 5: Solve for x
    x = 1,678,950,625/26,954
  6. Step 6: Final answer
    x = 62,289.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.