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Finding the Third Proportional to 36.53 and 79.47

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Solution

The third proportional to 36.53 and 79.47 is: 172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.53 : 79.47 = 79.47 : x
  2. Step 2: Convert to fraction form
    36.53/79.47 = 79.47/x
  3. Step 3: Cross multiply
    36.53x = 79.47 × 79.47
  4. Step 4: Simplify right side
    36.53x = 6,315.07
  5. Step 5: Solve for x
    x = 6,315.07/36.53
  6. Step 6: Final answer
    x = 172.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.