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Finding the Third Proportional to 11,951 and 25,974.50

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Solution

The third proportional to 11,951 and 25,974.50 is: 56,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951 : 25,974.50 = 25,974.50 : x
  2. Step 2: Convert to fraction form
    11,951/25,974.50 = 25,974.50/x
  3. Step 3: Cross multiply
    11,951x = 25,974.50 × 25,974.50
  4. Step 4: Simplify right side
    11,951x = 674,674,650.25
  5. Step 5: Solve for x
    x = 674,674,650.25/11,951
  6. Step 6: Final answer
    x = 56,453.41

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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.