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Finding the Third Proportional to 2,439.56 and 3,632.34

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Solution

The third proportional to 2,439.56 and 3,632.34 is: 5,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.56 : 3,632.34 = 3,632.34 : x
  2. Step 2: Convert to fraction form
    2,439.56/3,632.34 = 3,632.34/x
  3. Step 3: Cross multiply
    2,439.56x = 3,632.34 × 3,632.34
  4. Step 4: Simplify right side
    2,439.56x = 13,193,921.12
  5. Step 5: Solve for x
    x = 13,193,921.12/2,439.56
  6. Step 6: Final answer
    x = 5,408.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.