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Finding the Third Proportional to 18.49 and 47.97

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Solution

The third proportional to 18.49 and 47.97 is: 124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.49 : 47.97 = 47.97 : x
  2. Step 2: Convert to fraction form
    18.49/47.97 = 47.97/x
  3. Step 3: Cross multiply
    18.49x = 47.97 × 47.97
  4. Step 4: Simplify right side
    18.49x = 2,301.13
  5. Step 5: Solve for x
    x = 2,301.13/18.49
  6. Step 6: Final answer
    x = 124.42

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.