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Finding the Third Proportional to 2,141.44 and 3,975.33

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Solution

The third proportional to 2,141.44 and 3,975.33 is: 7,379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.44 : 3,975.33 = 3,975.33 : x
  2. Step 2: Convert to fraction form
    2,141.44/3,975.33 = 3,975.33/x
  3. Step 3: Cross multiply
    2,141.44x = 3,975.33 × 3,975.33
  4. Step 4: Simplify right side
    2,141.44x = 15,803,233.70
  5. Step 5: Solve for x
    x = 15,803,233.70/2,141.44
  6. Step 6: Final answer
    x = 7,379.73

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.