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Finding the Third Proportional to 32 and 84.25

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Solution

The third proportional to 32 and 84.25 is: 221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32 : 84.25 = 84.25 : x
  2. Step 2: Convert to fraction form
    32/84.25 = 84.25/x
  3. Step 3: Cross multiply
    32x = 84.25 × 84.25
  4. Step 4: Simplify right side
    32x = 7,098.06
  5. Step 5: Solve for x
    x = 7,098.06/32
  6. Step 6: Final answer
    x = 221.81

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.