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Finding the Third Proportional to 13.82 and 28.93

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Solution

The third proportional to 13.82 and 28.93 is: 60.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.82 : 28.93 = 28.93 : x
  2. Step 2: Convert to fraction form
    13.82/28.93 = 28.93/x
  3. Step 3: Cross multiply
    13.82x = 28.93 × 28.93
  4. Step 4: Simplify right side
    13.82x = 837.15
  5. Step 5: Solve for x
    x = 837.15/13.82
  6. Step 6: Final answer
    x = 60.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.