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Finding the Third Proportional to 2.36 and 4.73

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Solution

The third proportional to 2.36 and 4.73 is: 9.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.36 : 4.73 = 4.73 : x
  2. Step 2: Convert to fraction form
    2.36/4.73 = 4.73/x
  3. Step 3: Cross multiply
    2.36x = 4.73 × 4.73
  4. Step 4: Simplify right side
    2.36x = 22.33
  5. Step 5: Solve for x
    x = 22.33/2.36
  6. Step 6: Final answer
    x = 9.45

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.