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Finding the Third Proportional to 11.02 and 23.94

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Solution

The third proportional to 11.02 and 23.94 is: 52.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.02 : 23.94 = 23.94 : x
  2. Step 2: Convert to fraction form
    11.02/23.94 = 23.94/x
  3. Step 3: Cross multiply
    11.02x = 23.94 × 23.94
  4. Step 4: Simplify right side
    11.02x = 573.00
  5. Step 5: Solve for x
    x = 573.00/11.02
  6. Step 6: Final answer
    x = 52.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.