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Finding the Third Proportional to 8.28 and 12.59

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Solution

The third proportional to 8.28 and 12.59 is: 19.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.28 : 12.59 = 12.59 : x
  2. Step 2: Convert to fraction form
    8.28/12.59 = 12.59/x
  3. Step 3: Cross multiply
    8.28x = 12.59 × 12.59
  4. Step 4: Simplify right side
    8.28x = 158.56
  5. Step 5: Solve for x
    x = 158.56/8.28
  6. Step 6: Final answer
    x = 19.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.