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Finding the Third Proportional to 36,522 and 54,825

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Solution

The third proportional to 36,522 and 54,825 is: 82,300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,522 : 54,825 = 54,825 : x
  2. Step 2: Convert to fraction form
    36,522/54,825 = 54,825/x
  3. Step 3: Cross multiply
    36,522x = 54,825 × 54,825
  4. Step 4: Simplify right side
    36,522x = 3,005,780,625
  5. Step 5: Solve for x
    x = 3,005,780,625/36,522
  6. Step 6: Final answer
    x = 82,300.55

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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.