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Finding the Third Proportional to 83.25 and 90

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Solution

The third proportional to 83.25 and 90 is: 97.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.25 : 90 = 90 : x
  2. Step 2: Convert to fraction form
    83.25/90 = 90/x
  3. Step 3: Cross multiply
    83.25x = 90 × 90
  4. Step 4: Simplify right side
    83.25x = 8,100
  5. Step 5: Solve for x
    x = 8,100/83.25
  6. Step 6: Final answer
    x = 97.30

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.