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Finding the Third Proportional to 20,441.25 and 31,664.25

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Solution

The third proportional to 20,441.25 and 31,664.25 is: 49,049.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,441.25 : 31,664.25 = 31,664.25 : x
  2. Step 2: Convert to fraction form
    20,441.25/31,664.25 = 31,664.25/x
  3. Step 3: Cross multiply
    20,441.25x = 31,664.25 × 31,664.25
  4. Step 4: Simplify right side
    20,441.25x = 1,002,624,728.06
  5. Step 5: Solve for x
    x = 1,002,624,728.06/20,441.25
  6. Step 6: Final answer
    x = 49,049.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.