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Finding the Third Proportional to 21.73 and 55.72

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Solution

The third proportional to 21.73 and 55.72 is: 142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.73 : 55.72 = 55.72 : x
  2. Step 2: Convert to fraction form
    21.73/55.72 = 55.72/x
  3. Step 3: Cross multiply
    21.73x = 55.72 × 55.72
  4. Step 4: Simplify right side
    21.73x = 3,105.25
  5. Step 5: Solve for x
    x = 3,105.25/21.73
  6. Step 6: Final answer
    x = 142.88

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.