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Finding the Third Proportional to 34.82 and 75.34

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Solution

The third proportional to 34.82 and 75.34 is: 163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.82 : 75.34 = 75.34 : x
  2. Step 2: Convert to fraction form
    34.82/75.34 = 75.34/x
  3. Step 3: Cross multiply
    34.82x = 75.34 × 75.34
  4. Step 4: Simplify right side
    34.82x = 5,676.75
  5. Step 5: Solve for x
    x = 5,676.75/34.82
  6. Step 6: Final answer
    x = 163.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.