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Finding the Third Proportional to 23.67 and 49.18

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Solution

The third proportional to 23.67 and 49.18 is: 102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.67 : 49.18 = 49.18 : x
  2. Step 2: Convert to fraction form
    23.67/49.18 = 49.18/x
  3. Step 3: Cross multiply
    23.67x = 49.18 × 49.18
  4. Step 4: Simplify right side
    23.67x = 2,418.81
  5. Step 5: Solve for x
    x = 2,418.81/23.67
  6. Step 6: Final answer
    x = 102.18

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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.