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Finding the Third Proportional to 13,981.50 and 30,757.50

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Solution

The third proportional to 13,981.50 and 30,757.50 is: 67,662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.50 : 30,757.50 = 30,757.50 : x
  2. Step 2: Convert to fraction form
    13,981.50/30,757.50 = 30,757.50/x
  3. Step 3: Cross multiply
    13,981.50x = 30,757.50 × 30,757.50
  4. Step 4: Simplify right side
    13,981.50x = 946,023,806.25
  5. Step 5: Solve for x
    x = 946,023,806.25/13,981.50
  6. Step 6: Final answer
    x = 67,662.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.