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Finding the Third Proportional to 38 and 86.50

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Solution

The third proportional to 38 and 86.50 is: 196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38 : 86.50 = 86.50 : x
  2. Step 2: Convert to fraction form
    38/86.50 = 86.50/x
  3. Step 3: Cross multiply
    38x = 86.50 × 86.50
  4. Step 4: Simplify right side
    38x = 7,482.25
  5. Step 5: Solve for x
    x = 7,482.25/38
  6. Step 6: Final answer
    x = 196.90

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.