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Finding the Third Proportional to 1,804.78 and 2,284.45

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Solution

The third proportional to 1,804.78 and 2,284.45 is: 2,891.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.78 : 2,284.45 = 2,284.45 : x
  2. Step 2: Convert to fraction form
    1,804.78/2,284.45 = 2,284.45/x
  3. Step 3: Cross multiply
    1,804.78x = 2,284.45 × 2,284.45
  4. Step 4: Simplify right side
    1,804.78x = 5,218,726.08
  5. Step 5: Solve for x
    x = 5,218,726.08/1,804.78
  6. Step 6: Final answer
    x = 2,891.61

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.