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Finding the Third Proportional to 23.60 and 33.41

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Solution

The third proportional to 23.60 and 33.41 is: 47.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.60 : 33.41 = 33.41 : x
  2. Step 2: Convert to fraction form
    23.60/33.41 = 33.41/x
  3. Step 3: Cross multiply
    23.60x = 33.41 × 33.41
  4. Step 4: Simplify right side
    23.60x = 1,116.24
  5. Step 5: Solve for x
    x = 1,116.24/23.60
  6. Step 6: Final answer
    x = 47.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.