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Finding the Third Proportional to 13,912.50 and 30,606

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Solution

The third proportional to 13,912.50 and 30,606 is: 67,329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.50 : 30,606 = 30,606 : x
  2. Step 2: Convert to fraction form
    13,912.50/30,606 = 30,606/x
  3. Step 3: Cross multiply
    13,912.50x = 30,606 × 30,606
  4. Step 4: Simplify right side
    13,912.50x = 936,727,236
  5. Step 5: Solve for x
    x = 936,727,236/13,912.50
  6. Step 6: Final answer
    x = 67,329.90

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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.