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Finding the Third Proportional to 11.04 and 16.80

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Solution

The third proportional to 11.04 and 16.80 is: 25.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.04 : 16.80 = 16.80 : x
  2. Step 2: Convert to fraction form
    11.04/16.80 = 16.80/x
  3. Step 3: Cross multiply
    11.04x = 16.80 × 16.80
  4. Step 4: Simplify right side
    11.04x = 282.40
  5. Step 5: Solve for x
    x = 282.40/11.04
  6. Step 6: Final answer
    x = 25.58

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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.