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Finding the Third Proportional to 8.56 and 13.25

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Solution

The third proportional to 8.56 and 13.25 is: 20.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.56 : 13.25 = 13.25 : x
  2. Step 2: Convert to fraction form
    8.56/13.25 = 13.25/x
  3. Step 3: Cross multiply
    8.56x = 13.25 × 13.25
  4. Step 4: Simplify right side
    8.56x = 175.56
  5. Step 5: Solve for x
    x = 175.56/8.56
  6. Step 6: Final answer
    x = 20.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.