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Finding the Third Proportional to 34 and 91.75

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Solution

The third proportional to 34 and 91.75 is: 247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34 : 91.75 = 91.75 : x
  2. Step 2: Convert to fraction form
    34/91.75 = 91.75/x
  3. Step 3: Cross multiply
    34x = 91.75 × 91.75
  4. Step 4: Simplify right side
    34x = 8,418.06
  5. Step 5: Solve for x
    x = 8,418.06/34
  6. Step 6: Final answer
    x = 247.59

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.