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Finding the Third Proportional to 13,380.19 and 20,032.31

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Solution

The third proportional to 13,380.19 and 20,032.31 is: 29,991.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.19 : 20,032.31 = 20,032.31 : x
  2. Step 2: Convert to fraction form
    13,380.19/20,032.31 = 20,032.31/x
  3. Step 3: Cross multiply
    13,380.19x = 20,032.31 × 20,032.31
  4. Step 4: Simplify right side
    13,380.19x = 401,293,544.10
  5. Step 5: Solve for x
    x = 401,293,544.10/13,380.19
  6. Step 6: Final answer
    x = 29,991.62

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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.