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Finding the Third Proportional to 23.49 and 49.12

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Solution

The third proportional to 23.49 and 49.12 is: 102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.49 : 49.12 = 49.12 : x
  2. Step 2: Convert to fraction form
    23.49/49.12 = 49.12/x
  3. Step 3: Cross multiply
    23.49x = 49.12 × 49.12
  4. Step 4: Simplify right side
    23.49x = 2,412.98
  5. Step 5: Solve for x
    x = 2,412.98/23.49
  6. Step 6: Final answer
    x = 102.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.