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Finding the Third Proportional to 24 and 55.41

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Solution

The third proportional to 24 and 55.41 is: 127.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24 : 55.41 = 55.41 : x
  2. Step 2: Convert to fraction form
    24/55.41 = 55.41/x
  3. Step 3: Cross multiply
    24x = 55.41 × 55.41
  4. Step 4: Simplify right side
    24x = 3,069.85
  5. Step 5: Solve for x
    x = 3,069.85/24
  6. Step 6: Final answer
    x = 127.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.