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Finding the Third Proportional to 23.92 and 36.04

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Solution

The third proportional to 23.92 and 36.04 is: 54.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.92 : 36.04 = 36.04 : x
  2. Step 2: Convert to fraction form
    23.92/36.04 = 36.04/x
  3. Step 3: Cross multiply
    23.92x = 36.04 × 36.04
  4. Step 4: Simplify right side
    23.92x = 1,299.17
  5. Step 5: Solve for x
    x = 1,299.17/23.92
  6. Step 6: Final answer
    x = 54.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.