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Finding the Third Proportional to 2,933.72 and 4,399.73

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Solution

The third proportional to 2,933.72 and 4,399.73 is: 6,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.72 : 4,399.73 = 4,399.73 : x
  2. Step 2: Convert to fraction form
    2,933.72/4,399.73 = 4,399.73/x
  3. Step 3: Cross multiply
    2,933.72x = 4,399.73 × 4,399.73
  4. Step 4: Simplify right side
    2,933.72x = 19,357,662.57
  5. Step 5: Solve for x
    x = 19,357,662.57/2,933.72
  6. Step 6: Final answer
    x = 6,598.34

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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.