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Finding the Third Proportional to 18,105.75 and 25,994.25

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Solution

The third proportional to 18,105.75 and 25,994.25 is: 37,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,105.75 : 25,994.25 = 25,994.25 : x
  2. Step 2: Convert to fraction form
    18,105.75/25,994.25 = 25,994.25/x
  3. Step 3: Cross multiply
    18,105.75x = 25,994.25 × 25,994.25
  4. Step 4: Simplify right side
    18,105.75x = 675,701,033.06
  5. Step 5: Solve for x
    x = 675,701,033.06/18,105.75
  6. Step 6: Final answer
    x = 37,319.69

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.