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Finding the Third Proportional to 23.67 and 55.73

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Solution

The third proportional to 23.67 and 55.73 is: 131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.67 : 55.73 = 55.73 : x
  2. Step 2: Convert to fraction form
    23.67/55.73 = 55.73/x
  3. Step 3: Cross multiply
    23.67x = 55.73 × 55.73
  4. Step 4: Simplify right side
    23.67x = 3,106.32
  5. Step 5: Solve for x
    x = 3,106.32/23.67
  6. Step 6: Final answer
    x = 131.22

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.