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Finding the Third Proportional to 4.77 and 11.42

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Solution

The third proportional to 4.77 and 11.42 is: 27.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.77 : 11.42 = 11.42 : x
  2. Step 2: Convert to fraction form
    4.77/11.42 = 11.42/x
  3. Step 3: Cross multiply
    4.77x = 11.42 × 11.42
  4. Step 4: Simplify right side
    4.77x = 130.35
  5. Step 5: Solve for x
    x = 130.35/4.77
  6. Step 6: Final answer
    x = 27.33

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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.