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Finding the Third Proportional to 36.19 and 52.38

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Solution

The third proportional to 36.19 and 52.38 is: 75.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.19 : 52.38 = 52.38 : x
  2. Step 2: Convert to fraction form
    36.19/52.38 = 52.38/x
  3. Step 3: Cross multiply
    36.19x = 52.38 × 52.38
  4. Step 4: Simplify right side
    36.19x = 2,743.14
  5. Step 5: Solve for x
    x = 2,743.14/36.19
  6. Step 6: Final answer
    x = 75.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.