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Finding the Third Proportional to 38.25 and 78.19

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Solution

The third proportional to 38.25 and 78.19 is: 159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.25 : 78.19 = 78.19 : x
  2. Step 2: Convert to fraction form
    38.25/78.19 = 78.19/x
  3. Step 3: Cross multiply
    38.25x = 78.19 × 78.19
  4. Step 4: Simplify right side
    38.25x = 6,113.29
  5. Step 5: Solve for x
    x = 6,113.29/38.25
  6. Step 6: Final answer
    x = 159.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.