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Finding the Third Proportional to 38.63 and 83.44

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Solution

The third proportional to 38.63 and 83.44 is: 180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.63 : 83.44 = 83.44 : x
  2. Step 2: Convert to fraction form
    38.63/83.44 = 83.44/x
  3. Step 3: Cross multiply
    38.63x = 83.44 × 83.44
  4. Step 4: Simplify right side
    38.63x = 6,961.82
  5. Step 5: Solve for x
    x = 6,961.82/38.63
  6. Step 6: Final answer
    x = 180.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.