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Finding the Third Proportional to 23.36 and 51.52

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Solution

The third proportional to 23.36 and 51.52 is: 113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.36 : 51.52 = 51.52 : x
  2. Step 2: Convert to fraction form
    23.36/51.52 = 51.52/x
  3. Step 3: Cross multiply
    23.36x = 51.52 × 51.52
  4. Step 4: Simplify right side
    23.36x = 2,654.66
  5. Step 5: Solve for x
    x = 2,654.66/23.36
  6. Step 6: Final answer
    x = 113.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.