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Finding the Third Proportional to 36,462.75 and 54,695

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Solution

The third proportional to 36,462.75 and 54,695 is: 82,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,462.75 : 54,695 = 54,695 : x
  2. Step 2: Convert to fraction form
    36,462.75/54,695 = 54,695/x
  3. Step 3: Cross multiply
    36,462.75x = 54,695 × 54,695
  4. Step 4: Simplify right side
    36,462.75x = 2,991,543,025
  5. Step 5: Solve for x
    x = 2,991,543,025/36,462.75
  6. Step 6: Final answer
    x = 82,043.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.