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Finding the Third Proportional to 2,033.44 and 4,329.56

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Solution

The third proportional to 2,033.44 and 4,329.56 is: 9,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.44 : 4,329.56 = 4,329.56 : x
  2. Step 2: Convert to fraction form
    2,033.44/4,329.56 = 4,329.56/x
  3. Step 3: Cross multiply
    2,033.44x = 4,329.56 × 4,329.56
  4. Step 4: Simplify right side
    2,033.44x = 18,745,111.44
  5. Step 5: Solve for x
    x = 18,745,111.44/2,033.44
  6. Step 6: Final answer
    x = 9,218.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.