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Finding the Third Proportional to 36.19 and 55.03

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Solution

The third proportional to 36.19 and 55.03 is: 83.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.19 : 55.03 = 55.03 : x
  2. Step 2: Convert to fraction form
    36.19/55.03 = 55.03/x
  3. Step 3: Cross multiply
    36.19x = 55.03 × 55.03
  4. Step 4: Simplify right side
    36.19x = 3,028.44
  5. Step 5: Solve for x
    x = 3,028.44/36.19
  6. Step 6: Final answer
    x = 83.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.