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Finding the Third Proportional to 3,669.21 and 5,582.83

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Solution

The third proportional to 3,669.21 and 5,582.83 is: 8,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.21 : 5,582.83 = 5,582.83 : x
  2. Step 2: Convert to fraction form
    3,669.21/5,582.83 = 5,582.83/x
  3. Step 3: Cross multiply
    3,669.21x = 5,582.83 × 5,582.83
  4. Step 4: Simplify right side
    3,669.21x = 31,167,991.68
  5. Step 5: Solve for x
    x = 31,167,991.68/3,669.21
  6. Step 6: Final answer
    x = 8,494.48

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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.