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Finding the Third Proportional to 2,761.69 and 4,133.44

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Solution

The third proportional to 2,761.69 and 4,133.44 is: 6,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.69 : 4,133.44 = 4,133.44 : x
  2. Step 2: Convert to fraction form
    2,761.69/4,133.44 = 4,133.44/x
  3. Step 3: Cross multiply
    2,761.69x = 4,133.44 × 4,133.44
  4. Step 4: Simplify right side
    2,761.69x = 17,085,305.57
  5. Step 5: Solve for x
    x = 17,085,305.57/2,761.69
  6. Step 6: Final answer
    x = 6,186.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.