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Finding the Third Proportional to 38.74 and 92.36

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Solution

The third proportional to 38.74 and 92.36 is: 220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.74 : 92.36 = 92.36 : x
  2. Step 2: Convert to fraction form
    38.74/92.36 = 92.36/x
  3. Step 3: Cross multiply
    38.74x = 92.36 × 92.36
  4. Step 4: Simplify right side
    38.74x = 8,529.53
  5. Step 5: Solve for x
    x = 8,529.53/38.74
  6. Step 6: Final answer
    x = 220.16

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.