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Finding the Third Proportional to 22.41 and 51.94

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Solution

The third proportional to 22.41 and 51.94 is: 120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.41 : 51.94 = 51.94 : x
  2. Step 2: Convert to fraction form
    22.41/51.94 = 51.94/x
  3. Step 3: Cross multiply
    22.41x = 51.94 × 51.94
  4. Step 4: Simplify right side
    22.41x = 2,697.50
  5. Step 5: Solve for x
    x = 2,697.50/22.41
  6. Step 6: Final answer
    x = 120.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.