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Finding the Third Proportional to 12,021.75 and 18,246.38

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Solution

The third proportional to 12,021.75 and 18,246.38 is: 27,693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021.75 : 18,246.38 = 18,246.38 : x
  2. Step 2: Convert to fraction form
    12,021.75/18,246.38 = 18,246.38/x
  3. Step 3: Cross multiply
    12,021.75x = 18,246.38 × 18,246.38
  4. Step 4: Simplify right side
    12,021.75x = 332,930,200.64
  5. Step 5: Solve for x
    x = 332,930,200.64/12,021.75
  6. Step 6: Final answer
    x = 27,693.99

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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.