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Finding the Third Proportional to 1,843.59 and 4,028.91

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Solution

The third proportional to 1,843.59 and 4,028.91 is: 8,804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.59 : 4,028.91 = 4,028.91 : x
  2. Step 2: Convert to fraction form
    1,843.59/4,028.91 = 4,028.91/x
  3. Step 3: Cross multiply
    1,843.59x = 4,028.91 × 4,028.91
  4. Step 4: Simplify right side
    1,843.59x = 16,232,085.57
  5. Step 5: Solve for x
    x = 16,232,085.57/1,843.59
  6. Step 6: Final answer
    x = 8,804.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.