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Finding the Third Proportional to 36.22 and 53.66

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Solution

The third proportional to 36.22 and 53.66 is: 79.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.22 : 53.66 = 53.66 : x
  2. Step 2: Convert to fraction form
    36.22/53.66 = 53.66/x
  3. Step 3: Cross multiply
    36.22x = 53.66 × 53.66
  4. Step 4: Simplify right side
    36.22x = 2,878.99
  5. Step 5: Solve for x
    x = 2,878.99/36.22
  6. Step 6: Final answer
    x = 79.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.