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Finding the Third Proportional to 23.25 and 36.42

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Solution

The third proportional to 23.25 and 36.42 is: 57.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.25 : 36.42 = 36.42 : x
  2. Step 2: Convert to fraction form
    23.25/36.42 = 36.42/x
  3. Step 3: Cross multiply
    23.25x = 36.42 × 36.42
  4. Step 4: Simplify right side
    23.25x = 1,326.55
  5. Step 5: Solve for x
    x = 1,326.55/23.25
  6. Step 6: Final answer
    x = 57.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.