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Finding the Third Proportional to 1,674.84 and 3,963.09

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Solution

The third proportional to 1,674.84 and 3,963.09 is: 9,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.84 : 3,963.09 = 3,963.09 : x
  2. Step 2: Convert to fraction form
    1,674.84/3,963.09 = 3,963.09/x
  3. Step 3: Cross multiply
    1,674.84x = 3,963.09 × 3,963.09
  4. Step 4: Simplify right side
    1,674.84x = 15,706,112.07
  5. Step 5: Solve for x
    x = 15,706,112.07/1,674.84
  6. Step 6: Final answer
    x = 9,377.66

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.