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Finding the Third Proportional to 7.26 and 19.08

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Solution

The third proportional to 7.26 and 19.08 is: 50.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.26 : 19.08 = 19.08 : x
  2. Step 2: Convert to fraction form
    7.26/19.08 = 19.08/x
  3. Step 3: Cross multiply
    7.26x = 19.08 × 19.08
  4. Step 4: Simplify right side
    7.26x = 363.92
  5. Step 5: Solve for x
    x = 363.92/7.26
  6. Step 6: Final answer
    x = 50.09

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.