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Finding the Third Proportional to 835.79 and 1,808.26

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Solution

The third proportional to 835.79 and 1,808.26 is: 3,912.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.79 : 1,808.26 = 1,808.26 : x
  2. Step 2: Convert to fraction form
    835.79/1,808.26 = 1,808.26/x
  3. Step 3: Cross multiply
    835.79x = 1,808.26 × 1,808.26
  4. Step 4: Simplify right side
    835.79x = 3,269,810.44
  5. Step 5: Solve for x
    x = 3,269,810.44/835.79
  6. Step 6: Final answer
    x = 3,912.25

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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.