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Finding the Third Proportional to 22.97 and 49.08

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Solution

The third proportional to 22.97 and 49.08 is: 104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.97 : 49.08 = 49.08 : x
  2. Step 2: Convert to fraction form
    22.97/49.08 = 49.08/x
  3. Step 3: Cross multiply
    22.97x = 49.08 × 49.08
  4. Step 4: Simplify right side
    22.97x = 2,408.66
  5. Step 5: Solve for x
    x = 2,408.66/22.97
  6. Step 6: Final answer
    x = 104.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.