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Finding the Third Proportional to 2,399.84 and 3,633.29

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Solution

The third proportional to 2,399.84 and 3,633.29 is: 5,500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.84 : 3,633.29 = 3,633.29 : x
  2. Step 2: Convert to fraction form
    2,399.84/3,633.29 = 3,633.29/x
  3. Step 3: Cross multiply
    2,399.84x = 3,633.29 × 3,633.29
  4. Step 4: Simplify right side
    2,399.84x = 13,200,817.80
  5. Step 5: Solve for x
    x = 13,200,817.80/2,399.84
  6. Step 6: Final answer
    x = 5,500.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.