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Finding the Third Proportional to 34.94 and 57.97

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Solution

The third proportional to 34.94 and 57.97 is: 96.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.94 : 57.97 = 57.97 : x
  2. Step 2: Convert to fraction form
    34.94/57.97 = 57.97/x
  3. Step 3: Cross multiply
    34.94x = 57.97 × 57.97
  4. Step 4: Simplify right side
    34.94x = 3,360.38
  5. Step 5: Solve for x
    x = 3,360.38/34.94
  6. Step 6: Final answer
    x = 96.18

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.