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Finding the Third Proportional to 1,828.69 and 3,949.88

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Solution

The third proportional to 1,828.69 and 3,949.88 is: 8,531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.69 : 3,949.88 = 3,949.88 : x
  2. Step 2: Convert to fraction form
    1,828.69/3,949.88 = 3,949.88/x
  3. Step 3: Cross multiply
    1,828.69x = 3,949.88 × 3,949.88
  4. Step 4: Simplify right side
    1,828.69x = 15,601,512.52
  5. Step 5: Solve for x
    x = 15,601,512.52/1,828.69
  6. Step 6: Final answer
    x = 8,531.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.