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Finding the Third Proportional to 23.91 and 49.66

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Solution

The third proportional to 23.91 and 49.66 is: 103.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.91 : 49.66 = 49.66 : x
  2. Step 2: Convert to fraction form
    23.91/49.66 = 49.66/x
  3. Step 3: Cross multiply
    23.91x = 49.66 × 49.66
  4. Step 4: Simplify right side
    23.91x = 2,465.74
  5. Step 5: Solve for x
    x = 2,465.74/23.91
  6. Step 6: Final answer
    x = 103.14

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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.