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Finding the Third Proportional to 11.39 and 23.10

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Solution

The third proportional to 11.39 and 23.10 is: 46.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.39 : 23.10 = 23.10 : x
  2. Step 2: Convert to fraction form
    11.39/23.10 = 23.10/x
  3. Step 3: Cross multiply
    11.39x = 23.10 × 23.10
  4. Step 4: Simplify right side
    11.39x = 533.50
  5. Step 5: Solve for x
    x = 533.50/11.39
  6. Step 6: Final answer
    x = 46.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.