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Finding the Third Proportional to 34.57 and 91.16

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Solution

The third proportional to 34.57 and 91.16 is: 240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.57 : 91.16 = 91.16 : x
  2. Step 2: Convert to fraction form
    34.57/91.16 = 91.16/x
  3. Step 3: Cross multiply
    34.57x = 91.16 × 91.16
  4. Step 4: Simplify right side
    34.57x = 8,310.98
  5. Step 5: Solve for x
    x = 8,310.98/34.57
  6. Step 6: Final answer
    x = 240.43

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Why These Related Problems?

These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.