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Finding the Third Proportional to 2,825.72 and 4,304.39

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Solution

The third proportional to 2,825.72 and 4,304.39 is: 6,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.72 : 4,304.39 = 4,304.39 : x
  2. Step 2: Convert to fraction form
    2,825.72/4,304.39 = 4,304.39/x
  3. Step 3: Cross multiply
    2,825.72x = 4,304.39 × 4,304.39
  4. Step 4: Simplify right side
    2,825.72x = 18,527,778.65
  5. Step 5: Solve for x
    x = 18,527,778.65/2,825.72
  6. Step 6: Final answer
    x = 6,556.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.