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Finding the Third Proportional to 23.13 and 33.88

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Solution

The third proportional to 23.13 and 33.88 is: 49.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.13 : 33.88 = 33.88 : x
  2. Step 2: Convert to fraction form
    23.13/33.88 = 33.88/x
  3. Step 3: Cross multiply
    23.13x = 33.88 × 33.88
  4. Step 4: Simplify right side
    23.13x = 1,147.52
  5. Step 5: Solve for x
    x = 1,147.52/23.13
  6. Step 6: Final answer
    x = 49.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.