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Finding the Third Proportional to 9.41 and 22.09

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Solution

The third proportional to 9.41 and 22.09 is: 51.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.41 : 22.09 = 22.09 : x
  2. Step 2: Convert to fraction form
    9.41/22.09 = 22.09/x
  3. Step 3: Cross multiply
    9.41x = 22.09 × 22.09
  4. Step 4: Simplify right side
    9.41x = 488.16
  5. Step 5: Solve for x
    x = 488.16/9.41
  6. Step 6: Final answer
    x = 51.89

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.