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Finding the Third Proportional to 23.72 and 49.31

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Solution

The third proportional to 23.72 and 49.31 is: 102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.72 : 49.31 = 49.31 : x
  2. Step 2: Convert to fraction form
    23.72/49.31 = 49.31/x
  3. Step 3: Cross multiply
    23.72x = 49.31 × 49.31
  4. Step 4: Simplify right side
    23.72x = 2,431.72
  5. Step 5: Solve for x
    x = 2,431.72/23.72
  6. Step 6: Final answer
    x = 102.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.