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Finding the Third Proportional to 2,785.43 and 5,804.37

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Solution

The third proportional to 2,785.43 and 5,804.37 is: 12,095.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.43 : 5,804.37 = 5,804.37 : x
  2. Step 2: Convert to fraction form
    2,785.43/5,804.37 = 5,804.37/x
  3. Step 3: Cross multiply
    2,785.43x = 5,804.37 × 5,804.37
  4. Step 4: Simplify right side
    2,785.43x = 33,690,678.45
  5. Step 5: Solve for x
    x = 33,690,678.45/2,785.43
  6. Step 6: Final answer
    x = 12,095.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.