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Finding the Third Proportional to 8.97 and 19.21

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Solution

The third proportional to 8.97 and 19.21 is: 41.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.97 : 19.21 = 19.21 : x
  2. Step 2: Convert to fraction form
    8.97/19.21 = 19.21/x
  3. Step 3: Cross multiply
    8.97x = 19.21 × 19.21
  4. Step 4: Simplify right side
    8.97x = 369.14
  5. Step 5: Solve for x
    x = 369.14/8.97
  6. Step 6: Final answer
    x = 41.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.