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Finding the Third Proportional to 36,450 and 57,105

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Solution

The third proportional to 36,450 and 57,105 is: 89,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,450 : 57,105 = 57,105 : x
  2. Step 2: Convert to fraction form
    36,450/57,105 = 57,105/x
  3. Step 3: Cross multiply
    36,450x = 57,105 × 57,105
  4. Step 4: Simplify right side
    36,450x = 3,260,981,025
  5. Step 5: Solve for x
    x = 3,260,981,025/36,450
  6. Step 6: Final answer
    x = 89,464.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.