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Finding the Third Proportional to 36,551 and 54,682

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Solution

The third proportional to 36,551 and 54,682 is: 81,806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,551 : 54,682 = 54,682 : x
  2. Step 2: Convert to fraction form
    36,551/54,682 = 54,682/x
  3. Step 3: Cross multiply
    36,551x = 54,682 × 54,682
  4. Step 4: Simplify right side
    36,551x = 2,990,121,124
  5. Step 5: Solve for x
    x = 2,990,121,124/36,551
  6. Step 6: Final answer
    x = 81,806.82

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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.