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Finding the Third Proportional to 32,096.63 and 48,150.75

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Solution

The third proportional to 32,096.63 and 48,150.75 is: 72,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.63 : 48,150.75 = 48,150.75 : x
  2. Step 2: Convert to fraction form
    32,096.63/48,150.75 = 48,150.75/x
  3. Step 3: Cross multiply
    32,096.63x = 48,150.75 × 48,150.75
  4. Step 4: Simplify right side
    32,096.63x = 2,318,494,725.56
  5. Step 5: Solve for x
    x = 2,318,494,725.56/32,096.63
  6. Step 6: Final answer
    x = 72,234.84

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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.