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Finding the Third Proportional to 32,096.25 and 65,562.75

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Solution

The third proportional to 32,096.25 and 65,562.75 is: 133,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.25 : 65,562.75 = 65,562.75 : x
  2. Step 2: Convert to fraction form
    32,096.25/65,562.75 = 65,562.75/x
  3. Step 3: Cross multiply
    32,096.25x = 65,562.75 × 65,562.75
  4. Step 4: Simplify right side
    32,096.25x = 4,298,474,187.56
  5. Step 5: Solve for x
    x = 4,298,474,187.56/32,096.25
  6. Step 6: Final answer
    x = 133,924.50

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.