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Finding the Third Proportional to 38.25 and 41.63

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Solution

The third proportional to 38.25 and 41.63 is: 45.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.25 : 41.63 = 41.63 : x
  2. Step 2: Convert to fraction form
    38.25/41.63 = 41.63/x
  3. Step 3: Cross multiply
    38.25x = 41.63 × 41.63
  4. Step 4: Simplify right side
    38.25x = 1,732.64
  5. Step 5: Solve for x
    x = 1,732.64/38.25
  6. Step 6: Final answer
    x = 45.30

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.