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Finding the Third Proportional to 4.91 and 10.91

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Solution

The third proportional to 4.91 and 10.91 is: 24.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.91 : 10.91 = 10.91 : x
  2. Step 2: Convert to fraction form
    4.91/10.91 = 10.91/x
  3. Step 3: Cross multiply
    4.91x = 10.91 × 10.91
  4. Step 4: Simplify right side
    4.91x = 119.06
  5. Step 5: Solve for x
    x = 119.06/4.91
  6. Step 6: Final answer
    x = 24.27

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.