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Finding the Third Proportional to 20,391.75 and 31,028.06

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Solution

The third proportional to 20,391.75 and 31,028.06 is: 47,212.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,391.75 : 31,028.06 = 31,028.06 : x
  2. Step 2: Convert to fraction form
    20,391.75/31,028.06 = 31,028.06/x
  3. Step 3: Cross multiply
    20,391.75x = 31,028.06 × 31,028.06
  4. Step 4: Simplify right side
    20,391.75x = 962,740,662.50
  5. Step 5: Solve for x
    x = 962,740,662.50/20,391.75
  6. Step 6: Final answer
    x = 47,212.26

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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.