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Finding the Third Proportional to 23,096.16 and 32,178.75

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Solution

The third proportional to 23,096.16 and 32,178.75 is: 44,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,096.16 : 32,178.75 = 32,178.75 : x
  2. Step 2: Convert to fraction form
    23,096.16/32,178.75 = 32,178.75/x
  3. Step 3: Cross multiply
    23,096.16x = 32,178.75 × 32,178.75
  4. Step 4: Simplify right side
    23,096.16x = 1,035,471,951.56
  5. Step 5: Solve for x
    x = 1,035,471,951.56/23,096.16
  6. Step 6: Final answer
    x = 44,833.09

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.