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Finding the Third Proportional to 34.00 and 54.73

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Solution

The third proportional to 34.00 and 54.73 is: 88.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.00 : 54.73 = 54.73 : x
  2. Step 2: Convert to fraction form
    34.00/54.73 = 54.73/x
  3. Step 3: Cross multiply
    34.00x = 54.73 × 54.73
  4. Step 4: Simplify right side
    34.00x = 2,995.80
  5. Step 5: Solve for x
    x = 2,995.80/34.00
  6. Step 6: Final answer
    x = 88.12

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.