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Finding the Third Proportional to 23.72 and 52.17

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Solution

The third proportional to 23.72 and 52.17 is: 114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.72 : 52.17 = 52.17 : x
  2. Step 2: Convert to fraction form
    23.72/52.17 = 52.17/x
  3. Step 3: Cross multiply
    23.72x = 52.17 × 52.17
  4. Step 4: Simplify right side
    23.72x = 2,721.90
  5. Step 5: Solve for x
    x = 2,721.90/23.72
  6. Step 6: Final answer
    x = 114.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.