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Finding the Third Proportional to 38.32 and 57.52

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Solution

The third proportional to 38.32 and 57.52 is: 86.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.32 : 57.52 = 57.52 : x
  2. Step 2: Convert to fraction form
    38.32/57.52 = 57.52/x
  3. Step 3: Cross multiply
    38.32x = 57.52 × 57.52
  4. Step 4: Simplify right side
    38.32x = 3,308.05
  5. Step 5: Solve for x
    x = 3,308.05/38.32
  6. Step 6: Final answer
    x = 86.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.