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Finding the Third Proportional to 1,794.94 and 2,772.28

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Solution

The third proportional to 1,794.94 and 2,772.28 is: 4,281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.94 : 2,772.28 = 2,772.28 : x
  2. Step 2: Convert to fraction form
    1,794.94/2,772.28 = 2,772.28/x
  3. Step 3: Cross multiply
    1,794.94x = 2,772.28 × 2,772.28
  4. Step 4: Simplify right side
    1,794.94x = 7,685,543.33
  5. Step 5: Solve for x
    x = 7,685,543.33/1,794.94
  6. Step 6: Final answer
    x = 4,281.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.