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Finding the Third Proportional to 1,628.44 and 4,229.72

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Solution

The third proportional to 1,628.44 and 4,229.72 is: 10,986.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.44 : 4,229.72 = 4,229.72 : x
  2. Step 2: Convert to fraction form
    1,628.44/4,229.72 = 4,229.72/x
  3. Step 3: Cross multiply
    1,628.44x = 4,229.72 × 4,229.72
  4. Step 4: Simplify right side
    1,628.44x = 17,890,520.70
  5. Step 5: Solve for x
    x = 17,890,520.70/1,628.44
  6. Step 6: Final answer
    x = 10,986.31

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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.