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Finding the Third Proportional to 1,920.94 and 2,700.84

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Solution

The third proportional to 1,920.94 and 2,700.84 is: 3,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.94 : 2,700.84 = 2,700.84 : x
  2. Step 2: Convert to fraction form
    1,920.94/2,700.84 = 2,700.84/x
  3. Step 3: Cross multiply
    1,920.94x = 2,700.84 × 2,700.84
  4. Step 4: Simplify right side
    1,920.94x = 7,294,556.96
  5. Step 5: Solve for x
    x = 7,294,556.96/1,920.94
  6. Step 6: Final answer
    x = 3,797.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.