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Finding the Third Proportional to 23.76 and 30.36

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Solution

The third proportional to 23.76 and 30.36 is: 38.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.76 : 30.36 = 30.36 : x
  2. Step 2: Convert to fraction form
    23.76/30.36 = 30.36/x
  3. Step 3: Cross multiply
    23.76x = 30.36 × 30.36
  4. Step 4: Simplify right side
    23.76x = 921.57
  5. Step 5: Solve for x
    x = 921.57/23.76
  6. Step 6: Final answer
    x = 38.79

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.