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Finding the Third Proportional to 6,369.25 and 13,021.94

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Solution

The third proportional to 6,369.25 and 13,021.94 is: 26,623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.25 : 13,021.94 = 13,021.94 : x
  2. Step 2: Convert to fraction form
    6,369.25/13,021.94 = 13,021.94/x
  3. Step 3: Cross multiply
    6,369.25x = 13,021.94 × 13,021.94
  4. Step 4: Simplify right side
    6,369.25x = 169,570,856.25
  5. Step 5: Solve for x
    x = 169,570,856.25/6,369.25
  6. Step 6: Final answer
    x = 26,623.36

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.