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Finding the Third Proportional to 36.63 and 78.88

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Solution

The third proportional to 36.63 and 78.88 is: 169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.63 : 78.88 = 78.88 : x
  2. Step 2: Convert to fraction form
    36.63/78.88 = 78.88/x
  3. Step 3: Cross multiply
    36.63x = 78.88 × 78.88
  4. Step 4: Simplify right side
    36.63x = 6,221.27
  5. Step 5: Solve for x
    x = 6,221.27/36.63
  6. Step 6: Final answer
    x = 169.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.