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Finding the Third Proportional to 36 and 55.83

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Solution

The third proportional to 36 and 55.83 is: 86.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36 : 55.83 = 55.83 : x
  2. Step 2: Convert to fraction form
    36/55.83 = 55.83/x
  3. Step 3: Cross multiply
    36x = 55.83 × 55.83
  4. Step 4: Simplify right side
    36x = 3,116.78
  5. Step 5: Solve for x
    x = 3,116.78/36
  6. Step 6: Final answer
    x = 86.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.