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Finding the Third Proportional to 13,879.69 and 18,223.03

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Solution

The third proportional to 13,879.69 and 18,223.03 is: 23,925.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,879.69 : 18,223.03 = 18,223.03 : x
  2. Step 2: Convert to fraction form
    13,879.69/18,223.03 = 18,223.03/x
  3. Step 3: Cross multiply
    13,879.69x = 18,223.03 × 18,223.03
  4. Step 4: Simplify right side
    13,879.69x = 332,078,867.94
  5. Step 5: Solve for x
    x = 332,078,867.94/13,879.69
  6. Step 6: Final answer
    x = 23,925.53

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.