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Finding the Third Proportional to 13.68 and 23.95

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Solution

The third proportional to 13.68 and 23.95 is: 41.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.68 : 23.95 = 23.95 : x
  2. Step 2: Convert to fraction form
    13.68/23.95 = 23.95/x
  3. Step 3: Cross multiply
    13.68x = 23.95 × 23.95
  4. Step 4: Simplify right side
    13.68x = 573.47
  5. Step 5: Solve for x
    x = 573.47/13.68
  6. Step 6: Final answer
    x = 41.91

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.