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Finding the Third Proportional to 26,906.50 and 41,995

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Solution

The third proportional to 26,906.50 and 41,995 is: 65,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,906.50 : 41,995 = 41,995 : x
  2. Step 2: Convert to fraction form
    26,906.50/41,995 = 41,995/x
  3. Step 3: Cross multiply
    26,906.50x = 41,995 × 41,995
  4. Step 4: Simplify right side
    26,906.50x = 1,763,580,025
  5. Step 5: Solve for x
    x = 1,763,580,025/26,906.50
  6. Step 6: Final answer
    x = 65,544.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.