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Finding the Third Proportional to 11.55 and 23.33

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Solution

The third proportional to 11.55 and 23.33 is: 47.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.55 : 23.33 = 23.33 : x
  2. Step 2: Convert to fraction form
    11.55/23.33 = 23.33/x
  3. Step 3: Cross multiply
    11.55x = 23.33 × 23.33
  4. Step 4: Simplify right side
    11.55x = 544.52
  5. Step 5: Solve for x
    x = 544.52/11.55
  6. Step 6: Final answer
    x = 47.15

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.