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Finding the Third Proportional to 11,974.50 and 26,021.25

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Solution

The third proportional to 11,974.50 and 26,021.25 is: 56,545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.50 : 26,021.25 = 26,021.25 : x
  2. Step 2: Convert to fraction form
    11,974.50/26,021.25 = 26,021.25/x
  3. Step 3: Cross multiply
    11,974.50x = 26,021.25 × 26,021.25
  4. Step 4: Simplify right side
    11,974.50x = 677,105,451.56
  5. Step 5: Solve for x
    x = 677,105,451.56/11,974.50
  6. Step 6: Final answer
    x = 56,545.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.