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Finding the Third Proportional to 21.73 and 33.54

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Solution

The third proportional to 21.73 and 33.54 is: 51.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.73 : 33.54 = 33.54 : x
  2. Step 2: Convert to fraction form
    21.73/33.54 = 33.54/x
  3. Step 3: Cross multiply
    21.73x = 33.54 × 33.54
  4. Step 4: Simplify right side
    21.73x = 1,124.87
  5. Step 5: Solve for x
    x = 1,124.87/21.73
  6. Step 6: Final answer
    x = 51.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.