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Finding the Third Proportional to 10.83 and 16.42

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Solution

The third proportional to 10.83 and 16.42 is: 24.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.83 : 16.42 = 16.42 : x
  2. Step 2: Convert to fraction form
    10.83/16.42 = 16.42/x
  3. Step 3: Cross multiply
    10.83x = 16.42 × 16.42
  4. Step 4: Simplify right side
    10.83x = 269.55
  5. Step 5: Solve for x
    x = 269.55/10.83
  6. Step 6: Final answer
    x = 24.89

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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.