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Finding the Third Proportional to 22.07 and 49.83

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Solution

The third proportional to 22.07 and 49.83 is: 112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.07 : 49.83 = 49.83 : x
  2. Step 2: Convert to fraction form
    22.07/49.83 = 49.83/x
  3. Step 3: Cross multiply
    22.07x = 49.83 × 49.83
  4. Step 4: Simplify right side
    22.07x = 2,483.43
  5. Step 5: Solve for x
    x = 2,483.43/22.07
  6. Step 6: Final answer
    x = 112.53

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.