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Finding the Third Proportional to 35.75 and 84.25

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Solution

The third proportional to 35.75 and 84.25 is: 198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.75 : 84.25 = 84.25 : x
  2. Step 2: Convert to fraction form
    35.75/84.25 = 84.25/x
  3. Step 3: Cross multiply
    35.75x = 84.25 × 84.25
  4. Step 4: Simplify right side
    35.75x = 7,098.06
  5. Step 5: Solve for x
    x = 7,098.06/35.75
  6. Step 6: Final answer
    x = 198.55

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.