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Finding the Third Proportional to 2,928.94 and 4,393.69

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Solution

The third proportional to 2,928.94 and 4,393.69 is: 6,590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.94 : 4,393.69 = 4,393.69 : x
  2. Step 2: Convert to fraction form
    2,928.94/4,393.69 = 4,393.69/x
  3. Step 3: Cross multiply
    2,928.94x = 4,393.69 × 4,393.69
  4. Step 4: Simplify right side
    2,928.94x = 19,304,489.85
  5. Step 5: Solve for x
    x = 19,304,489.85/2,928.94
  6. Step 6: Final answer
    x = 6,590.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.