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Finding the Third Proportional to 38.32 and 84.23

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Solution

The third proportional to 38.32 and 84.23 is: 185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.32 : 84.23 = 84.23 : x
  2. Step 2: Convert to fraction form
    38.32/84.23 = 84.23/x
  3. Step 3: Cross multiply
    38.32x = 84.23 × 84.23
  4. Step 4: Simplify right side
    38.32x = 7,095.43
  5. Step 5: Solve for x
    x = 7,095.43/38.32
  6. Step 6: Final answer
    x = 185.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.