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Finding the Third Proportional to 38.25 and 57.66

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Solution

The third proportional to 38.25 and 57.66 is: 86.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.25 : 57.66 = 57.66 : x
  2. Step 2: Convert to fraction form
    38.25/57.66 = 57.66/x
  3. Step 3: Cross multiply
    38.25x = 57.66 × 57.66
  4. Step 4: Simplify right side
    38.25x = 3,324.24
  5. Step 5: Solve for x
    x = 3,324.24/38.25
  6. Step 6: Final answer
    x = 86.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.