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Finding the Third Proportional to 26,226 and 41,591.25

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Solution

The third proportional to 26,226 and 41,591.25 is: 65,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,226 : 41,591.25 = 41,591.25 : x
  2. Step 2: Convert to fraction form
    26,226/41,591.25 = 41,591.25/x
  3. Step 3: Cross multiply
    26,226x = 41,591.25 × 41,591.25
  4. Step 4: Simplify right side
    26,226x = 1,729,832,076.56
  5. Step 5: Solve for x
    x = 1,729,832,076.56/26,226
  6. Step 6: Final answer
    x = 65,958.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.