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Finding the Third Proportional to 1,936.90 and 3,975.89

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Solution

The third proportional to 1,936.90 and 3,975.89 is: 8,161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.90 : 3,975.89 = 3,975.89 : x
  2. Step 2: Convert to fraction form
    1,936.90/3,975.89 = 3,975.89/x
  3. Step 3: Cross multiply
    1,936.90x = 3,975.89 × 3,975.89
  4. Step 4: Simplify right side
    1,936.90x = 15,807,706.26
  5. Step 5: Solve for x
    x = 15,807,706.26/1,936.90
  6. Step 6: Final answer
    x = 8,161.35

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.