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Finding the Third Proportional to 1,839.94 and 2,724.19

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Solution

The third proportional to 1,839.94 and 2,724.19 is: 4,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.94 : 2,724.19 = 2,724.19 : x
  2. Step 2: Convert to fraction form
    1,839.94/2,724.19 = 2,724.19/x
  3. Step 3: Cross multiply
    1,839.94x = 2,724.19 × 2,724.19
  4. Step 4: Simplify right side
    1,839.94x = 7,421,197.54
  5. Step 5: Solve for x
    x = 7,421,197.54/1,839.94
  6. Step 6: Final answer
    x = 4,033.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.