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Finding the Third Proportional to 22.03 and 51.09

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Solution

The third proportional to 22.03 and 51.09 is: 118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.03 : 51.09 = 51.09 : x
  2. Step 2: Convert to fraction form
    22.03/51.09 = 51.09/x
  3. Step 3: Cross multiply
    22.03x = 51.09 × 51.09
  4. Step 4: Simplify right side
    22.03x = 2,610.57
  5. Step 5: Solve for x
    x = 2,610.57/22.03
  6. Step 6: Final answer
    x = 118.49

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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.