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Finding the Third Proportional to 32.46 and 84.32

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Solution

The third proportional to 32.46 and 84.32 is: 219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.46 : 84.32 = 84.32 : x
  2. Step 2: Convert to fraction form
    32.46/84.32 = 84.32/x
  3. Step 3: Cross multiply
    32.46x = 84.32 × 84.32
  4. Step 4: Simplify right side
    32.46x = 7,110.54
  5. Step 5: Solve for x
    x = 7,110.54/32.46
  6. Step 6: Final answer
    x = 219.04

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.