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Finding the Third Proportional to 36,162.75 and 54,029.25

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Solution

The third proportional to 36,162.75 and 54,029.25 is: 80,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,162.75 : 54,029.25 = 54,029.25 : x
  2. Step 2: Convert to fraction form
    36,162.75/54,029.25 = 54,029.25/x
  3. Step 3: Cross multiply
    36,162.75x = 54,029.25 × 54,029.25
  4. Step 4: Simplify right side
    36,162.75x = 2,919,159,855.56
  5. Step 5: Solve for x
    x = 2,919,159,855.56/36,162.75
  6. Step 6: Final answer
    x = 80,722.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.