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Finding the Third Proportional to 36,493 and 54,901

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Solution

The third proportional to 36,493 and 54,901 is: 82,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,493 : 54,901 = 54,901 : x
  2. Step 2: Convert to fraction form
    36,493/54,901 = 54,901/x
  3. Step 3: Cross multiply
    36,493x = 54,901 × 54,901
  4. Step 4: Simplify right side
    36,493x = 3,014,119,801
  5. Step 5: Solve for x
    x = 3,014,119,801/36,493
  6. Step 6: Final answer
    x = 82,594.46

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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.