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Finding the Third Proportional to 12.81 and 19.29

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Solution

The third proportional to 12.81 and 19.29 is: 29.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.81 : 19.29 = 19.29 : x
  2. Step 2: Convert to fraction form
    12.81/19.29 = 19.29/x
  3. Step 3: Cross multiply
    12.81x = 19.29 × 19.29
  4. Step 4: Simplify right side
    12.81x = 371.98
  5. Step 5: Solve for x
    x = 371.98/12.81
  6. Step 6: Final answer
    x = 29.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.