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Finding the Third Proportional to 32,697.75 and 50,619.38

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Solution

The third proportional to 32,697.75 and 50,619.38 is: 78,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,697.75 : 50,619.38 = 50,619.38 : x
  2. Step 2: Convert to fraction form
    32,697.75/50,619.38 = 50,619.38/x
  3. Step 3: Cross multiply
    32,697.75x = 50,619.38 × 50,619.38
  4. Step 4: Simplify right side
    32,697.75x = 2,562,321,125.39
  5. Step 5: Solve for x
    x = 2,562,321,125.39/32,697.75
  6. Step 6: Final answer
    x = 78,363.84

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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.