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Finding the Third Proportional to 36,065.25 and 50,442.75

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Solution

The third proportional to 36,065.25 and 50,442.75 is: 70,551.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,065.25 : 50,442.75 = 50,442.75 : x
  2. Step 2: Convert to fraction form
    36,065.25/50,442.75 = 50,442.75/x
  3. Step 3: Cross multiply
    36,065.25x = 50,442.75 × 50,442.75
  4. Step 4: Simplify right side
    36,065.25x = 2,544,471,027.56
  5. Step 5: Solve for x
    x = 2,544,471,027.56/36,065.25
  6. Step 6: Final answer
    x = 70,551.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.