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Finding the Third Proportional to 20,775 and 31,185.75

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Solution

The third proportional to 20,775 and 31,185.75 is: 46,813.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775 : 31,185.75 = 31,185.75 : x
  2. Step 2: Convert to fraction form
    20,775/31,185.75 = 31,185.75/x
  3. Step 3: Cross multiply
    20,775x = 31,185.75 × 31,185.75
  4. Step 4: Simplify right side
    20,775x = 972,551,003.06
  5. Step 5: Solve for x
    x = 972,551,003.06/20,775
  6. Step 6: Final answer
    x = 46,813.53

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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.