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Finding the Third Proportional to 23.81 and 30.84

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Solution

The third proportional to 23.81 and 30.84 is: 39.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.81 : 30.84 = 30.84 : x
  2. Step 2: Convert to fraction form
    23.81/30.84 = 30.84/x
  3. Step 3: Cross multiply
    23.81x = 30.84 × 30.84
  4. Step 4: Simplify right side
    23.81x = 951.34
  5. Step 5: Solve for x
    x = 951.34/23.81
  6. Step 6: Final answer
    x = 39.95

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.