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Finding the Third Proportional to 38.06 and 57.09

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Solution

The third proportional to 38.06 and 57.09 is: 85.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.06 : 57.09 = 57.09 : x
  2. Step 2: Convert to fraction form
    38.06/57.09 = 57.09/x
  3. Step 3: Cross multiply
    38.06x = 57.09 × 57.09
  4. Step 4: Simplify right side
    38.06x = 3,259.70
  5. Step 5: Solve for x
    x = 3,259.70/38.06
  6. Step 6: Final answer
    x = 85.64

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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.