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Finding the Third Proportional to 38.91 and 92.06

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Solution

The third proportional to 38.91 and 92.06 is: 217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.91 : 92.06 = 92.06 : x
  2. Step 2: Convert to fraction form
    38.91/92.06 = 92.06/x
  3. Step 3: Cross multiply
    38.91x = 92.06 × 92.06
  4. Step 4: Simplify right side
    38.91x = 8,475.50
  5. Step 5: Solve for x
    x = 8,475.50/38.91
  6. Step 6: Final answer
    x = 217.84

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.