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Finding the Third Proportional to 11,920.50 and 25,889.25

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Solution

The third proportional to 11,920.50 and 25,889.25 is: 56,226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.50 : 25,889.25 = 25,889.25 : x
  2. Step 2: Convert to fraction form
    11,920.50/25,889.25 = 25,889.25/x
  3. Step 3: Cross multiply
    11,920.50x = 25,889.25 × 25,889.25
  4. Step 4: Simplify right side
    11,920.50x = 670,253,265.56
  5. Step 5: Solve for x
    x = 670,253,265.56/11,920.50
  6. Step 6: Final answer
    x = 56,226.94

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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.