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Finding the Third Proportional to 26,749.25 and 41,396.75

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Solution

The third proportional to 26,749.25 and 41,396.75 is: 64,065.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,749.25 : 41,396.75 = 41,396.75 : x
  2. Step 2: Convert to fraction form
    26,749.25/41,396.75 = 41,396.75/x
  3. Step 3: Cross multiply
    26,749.25x = 41,396.75 × 41,396.75
  4. Step 4: Simplify right side
    26,749.25x = 1,713,690,910.56
  5. Step 5: Solve for x
    x = 1,713,690,910.56/26,749.25
  6. Step 6: Final answer
    x = 64,065.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.