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Finding the Third Proportional to 36,165.38 and 54,212.63

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Solution

The third proportional to 36,165.38 and 54,212.63 is: 81,265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,165.38 : 54,212.63 = 54,212.63 : x
  2. Step 2: Convert to fraction form
    36,165.38/54,212.63 = 54,212.63/x
  3. Step 3: Cross multiply
    36,165.38x = 54,212.63 × 54,212.63
  4. Step 4: Simplify right side
    36,165.38x = 2,939,008,709.39
  5. Step 5: Solve for x
    x = 2,939,008,709.39/36,165.38
  6. Step 6: Final answer
    x = 81,265.82

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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.