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Finding the Third Proportional to 13,912.75 and 30,935.75

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Solution

The third proportional to 13,912.75 and 30,935.75 is: 68,787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.75 : 30,935.75 = 30,935.75 : x
  2. Step 2: Convert to fraction form
    13,912.75/30,935.75 = 30,935.75/x
  3. Step 3: Cross multiply
    13,912.75x = 30,935.75 × 30,935.75
  4. Step 4: Simplify right side
    13,912.75x = 957,020,628.06
  5. Step 5: Solve for x
    x = 957,020,628.06/13,912.75
  6. Step 6: Final answer
    x = 68,787.31

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.