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Finding the Third Proportional to 835.31 and 2,019.94

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Solution

The third proportional to 835.31 and 2,019.94 is: 4,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.31 : 2,019.94 = 2,019.94 : x
  2. Step 2: Convert to fraction form
    835.31/2,019.94 = 2,019.94/x
  3. Step 3: Cross multiply
    835.31x = 2,019.94 × 2,019.94
  4. Step 4: Simplify right side
    835.31x = 4,080,147.50
  5. Step 5: Solve for x
    x = 4,080,147.50/835.31
  6. Step 6: Final answer
    x = 4,884.58

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.