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Finding the Third Proportional to 8.97 and 13.59

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Solution

The third proportional to 8.97 and 13.59 is: 20.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.97 : 13.59 = 13.59 : x
  2. Step 2: Convert to fraction form
    8.97/13.59 = 13.59/x
  3. Step 3: Cross multiply
    8.97x = 13.59 × 13.59
  4. Step 4: Simplify right side
    8.97x = 184.79
  5. Step 5: Solve for x
    x = 184.79/8.97
  6. Step 6: Final answer
    x = 20.60

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