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Finding the Third Proportional to 10,926.14 and 16,383.52

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Solution

The third proportional to 10,926.14 and 16,383.52 is: 24,566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,926.14 : 16,383.52 = 16,383.52 : x
  2. Step 2: Convert to fraction form
    10,926.14/16,383.52 = 16,383.52/x
  3. Step 3: Cross multiply
    10,926.14x = 16,383.52 × 16,383.52
  4. Step 4: Simplify right side
    10,926.14x = 268,419,584.23
  5. Step 5: Solve for x
    x = 268,419,584.23/10,926.14
  6. Step 6: Final answer
    x = 24,566.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.