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Finding the Third Proportional to 22.81 and 49.19

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Solution

The third proportional to 22.81 and 49.19 is: 106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.81 : 49.19 = 49.19 : x
  2. Step 2: Convert to fraction form
    22.81/49.19 = 49.19/x
  3. Step 3: Cross multiply
    22.81x = 49.19 × 49.19
  4. Step 4: Simplify right side
    22.81x = 2,419.41
  5. Step 5: Solve for x
    x = 2,419.41/22.81
  6. Step 6: Final answer
    x = 106.06

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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.