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Finding the Third Proportional to 29,928 and 63,096

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Solution

The third proportional to 29,928 and 63,096 is: 133,022.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,928 : 63,096 = 63,096 : x
  2. Step 2: Convert to fraction form
    29,928/63,096 = 63,096/x
  3. Step 3: Cross multiply
    29,928x = 63,096 × 63,096
  4. Step 4: Simplify right side
    29,928x = 3,981,105,216
  5. Step 5: Solve for x
    x = 3,981,105,216/29,928
  6. Step 6: Final answer
    x = 133,022.76

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.