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Finding the Third Proportional to 32,245 and 49,825

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Solution

The third proportional to 32,245 and 49,825 is: 76,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,245 : 49,825 = 49,825 : x
  2. Step 2: Convert to fraction form
    32,245/49,825 = 49,825/x
  3. Step 3: Cross multiply
    32,245x = 49,825 × 49,825
  4. Step 4: Simplify right side
    32,245x = 2,482,530,625
  5. Step 5: Solve for x
    x = 2,482,530,625/32,245
  6. Step 6: Final answer
    x = 76,989.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.