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Finding the Third Proportional to 24.73 and 55.17

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Solution

The third proportional to 24.73 and 55.17 is: 123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.73 : 55.17 = 55.17 : x
  2. Step 2: Convert to fraction form
    24.73/55.17 = 55.17/x
  3. Step 3: Cross multiply
    24.73x = 55.17 × 55.17
  4. Step 4: Simplify right side
    24.73x = 3,043.70
  5. Step 5: Solve for x
    x = 3,043.70/24.73
  6. Step 6: Final answer
    x = 123.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.