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Finding the Third Proportional to 36.31 and 53.39

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Solution

The third proportional to 36.31 and 53.39 is: 78.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.31 : 53.39 = 53.39 : x
  2. Step 2: Convert to fraction form
    36.31/53.39 = 53.39/x
  3. Step 3: Cross multiply
    36.31x = 53.39 × 53.39
  4. Step 4: Simplify right side
    36.31x = 2,850.87
  5. Step 5: Solve for x
    x = 2,850.87/36.31
  6. Step 6: Final answer
    x = 78.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.