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Finding the Third Proportional to 32,096.44 and 48,150.56

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Solution

The third proportional to 32,096.44 and 48,150.56 is: 72,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.44 : 48,150.56 = 48,150.56 : x
  2. Step 2: Convert to fraction form
    32,096.44/48,150.56 = 48,150.56/x
  3. Step 3: Cross multiply
    32,096.44x = 48,150.56 × 48,150.56
  4. Step 4: Simplify right side
    32,096.44x = 2,318,476,669.07
  5. Step 5: Solve for x
    x = 2,318,476,669.07/32,096.44
  6. Step 6: Final answer
    x = 72,234.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.