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Finding the Third Proportional to 12.84 and 19.08

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Solution

The third proportional to 12.84 and 19.08 is: 28.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.84 : 19.08 = 19.08 : x
  2. Step 2: Convert to fraction form
    12.84/19.08 = 19.08/x
  3. Step 3: Cross multiply
    12.84x = 19.08 × 19.08
  4. Step 4: Simplify right side
    12.84x = 363.97
  5. Step 5: Solve for x
    x = 363.97/12.84
  6. Step 6: Final answer
    x = 28.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.