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Finding the Third Proportional to 36.15 and 53.27

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Solution

The third proportional to 36.15 and 53.27 is: 78.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.15 : 53.27 = 53.27 : x
  2. Step 2: Convert to fraction form
    36.15/53.27 = 53.27/x
  3. Step 3: Cross multiply
    36.15x = 53.27 × 53.27
  4. Step 4: Simplify right side
    36.15x = 2,837.41
  5. Step 5: Solve for x
    x = 2,837.41/36.15
  6. Step 6: Final answer
    x = 78.50

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Why These Related Problems?

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