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Finding the Third Proportional to 12,327.19 and 20,028.09

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Solution

The third proportional to 12,327.19 and 20,028.09 is: 32,539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.19 : 20,028.09 = 20,028.09 : x
  2. Step 2: Convert to fraction form
    12,327.19/20,028.09 = 20,028.09/x
  3. Step 3: Cross multiply
    12,327.19x = 20,028.09 × 20,028.09
  4. Step 4: Simplify right side
    12,327.19x = 401,124,539.26
  5. Step 5: Solve for x
    x = 401,124,539.26/12,327.19
  6. Step 6: Final answer
    x = 32,539.83

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.