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Finding the Third Proportional to 38.60 and 83.37

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Solution

The third proportional to 38.60 and 83.37 is: 180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.60 : 83.37 = 83.37 : x
  2. Step 2: Convert to fraction form
    38.60/83.37 = 83.37/x
  3. Step 3: Cross multiply
    38.60x = 83.37 × 83.37
  4. Step 4: Simplify right side
    38.60x = 6,950.09
  5. Step 5: Solve for x
    x = 6,950.09/38.60
  6. Step 6: Final answer
    x = 180.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.