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Finding the Third Proportional to 9.81 and 23.41

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Solution

The third proportional to 9.81 and 23.41 is: 55.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.81 : 23.41 = 23.41 : x
  2. Step 2: Convert to fraction form
    9.81/23.41 = 23.41/x
  3. Step 3: Cross multiply
    9.81x = 23.41 × 23.41
  4. Step 4: Simplify right side
    9.81x = 548.22
  5. Step 5: Solve for x
    x = 548.22/9.81
  6. Step 6: Final answer
    x = 55.89

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.