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Finding the Third Proportional to 22.68 and 48.98

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Solution

The third proportional to 22.68 and 48.98 is: 105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.68 : 48.98 = 48.98 : x
  2. Step 2: Convert to fraction form
    22.68/48.98 = 48.98/x
  3. Step 3: Cross multiply
    22.68x = 48.98 × 48.98
  4. Step 4: Simplify right side
    22.68x = 2,399.19
  5. Step 5: Solve for x
    x = 2,399.19/22.68
  6. Step 6: Final answer
    x = 105.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.