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Finding the Third Proportional to 8.06 and 11.53

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Solution

The third proportional to 8.06 and 11.53 is: 16.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.06 : 11.53 = 11.53 : x
  2. Step 2: Convert to fraction form
    8.06/11.53 = 11.53/x
  3. Step 3: Cross multiply
    8.06x = 11.53 × 11.53
  4. Step 4: Simplify right side
    8.06x = 132.97
  5. Step 5: Solve for x
    x = 132.97/8.06
  6. Step 6: Final answer
    x = 16.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.