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Finding the Third Proportional to 38.46 and 57.69

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Solution

The third proportional to 38.46 and 57.69 is: 86.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.46 : 57.69 = 57.69 : x
  2. Step 2: Convert to fraction form
    38.46/57.69 = 57.69/x
  3. Step 3: Cross multiply
    38.46x = 57.69 × 57.69
  4. Step 4: Simplify right side
    38.46x = 3,328.30
  5. Step 5: Solve for x
    x = 3,328.30/38.46
  6. Step 6: Final answer
    x = 86.54

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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.