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Finding the Third Proportional to 2,033.44 and 2,851.03

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Solution

The third proportional to 2,033.44 and 2,851.03 is: 3,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.44 : 2,851.03 = 2,851.03 : x
  2. Step 2: Convert to fraction form
    2,033.44/2,851.03 = 2,851.03/x
  3. Step 3: Cross multiply
    2,033.44x = 2,851.03 × 2,851.03
  4. Step 4: Simplify right side
    2,033.44x = 8,128,379.19
  5. Step 5: Solve for x
    x = 8,128,379.19/2,033.44
  6. Step 6: Final answer
    x = 3,997.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.