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Finding the Third Proportional to 36 and 52.59

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Solution

The third proportional to 36 and 52.59 is: 76.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36 : 52.59 = 52.59 : x
  2. Step 2: Convert to fraction form
    36/52.59 = 52.59/x
  3. Step 3: Cross multiply
    36x = 52.59 × 52.59
  4. Step 4: Simplify right side
    36x = 2,766.10
  5. Step 5: Solve for x
    x = 2,766.10/36
  6. Step 6: Final answer
    x = 76.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.