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Finding the Third Proportional to 1,992.94 and 4,038.19

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Solution

The third proportional to 1,992.94 and 4,038.19 is: 8,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.94 : 4,038.19 = 4,038.19 : x
  2. Step 2: Convert to fraction form
    1,992.94/4,038.19 = 4,038.19/x
  3. Step 3: Cross multiply
    1,992.94x = 4,038.19 × 4,038.19
  4. Step 4: Simplify right side
    1,992.94x = 16,306,958.29
  5. Step 5: Solve for x
    x = 16,306,958.29/1,992.94
  6. Step 6: Final answer
    x = 8,182.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.