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Finding the Third Proportional to 34.31 and 75.94

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Solution

The third proportional to 34.31 and 75.94 is: 168.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.31 : 75.94 = 75.94 : x
  2. Step 2: Convert to fraction form
    34.31/75.94 = 75.94/x
  3. Step 3: Cross multiply
    34.31x = 75.94 × 75.94
  4. Step 4: Simplify right side
    34.31x = 5,766.50
  5. Step 5: Solve for x
    x = 5,766.50/34.31
  6. Step 6: Final answer
    x = 168.06

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.