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Finding the Third Proportional to 830.06 and 1,794.56

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Solution

The third proportional to 830.06 and 1,794.56 is: 3,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.06 : 1,794.56 = 1,794.56 : x
  2. Step 2: Convert to fraction form
    830.06/1,794.56 = 1,794.56/x
  3. Step 3: Cross multiply
    830.06x = 1,794.56 × 1,794.56
  4. Step 4: Simplify right side
    830.06x = 3,220,454.57
  5. Step 5: Solve for x
    x = 3,220,454.57/830.06
  6. Step 6: Final answer
    x = 3,879.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.