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Finding the Third Proportional to 2.94 and 7.54

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Solution

The third proportional to 2.94 and 7.54 is: 19.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.94 : 7.54 = 7.54 : x
  2. Step 2: Convert to fraction form
    2.94/7.54 = 7.54/x
  3. Step 3: Cross multiply
    2.94x = 7.54 × 7.54
  4. Step 4: Simplify right side
    2.94x = 56.85
  5. Step 5: Solve for x
    x = 56.85/2.94
  6. Step 6: Final answer
    x = 19.33

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.