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Finding the Third Proportional to 38.44 and 84.01

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Solution

The third proportional to 38.44 and 84.01 is: 183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.44 : 84.01 = 84.01 : x
  2. Step 2: Convert to fraction form
    38.44/84.01 = 84.01/x
  3. Step 3: Cross multiply
    38.44x = 84.01 × 84.01
  4. Step 4: Simplify right side
    38.44x = 7,056.98
  5. Step 5: Solve for x
    x = 7,056.98/38.44
  6. Step 6: Final answer
    x = 183.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.