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Finding the Third Proportional to 34.25 and 92.50

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Solution

The third proportional to 34.25 and 92.50 is: 249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.25 : 92.50 = 92.50 : x
  2. Step 2: Convert to fraction form
    34.25/92.50 = 92.50/x
  3. Step 3: Cross multiply
    34.25x = 92.50 × 92.50
  4. Step 4: Simplify right side
    34.25x = 8,556.25
  5. Step 5: Solve for x
    x = 8,556.25/34.25
  6. Step 6: Final answer
    x = 249.82

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