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Finding the Third Proportional to 13,884.75 and 28,694.25

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Solution

The third proportional to 13,884.75 and 28,694.25 is: 59,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.75 : 28,694.25 = 28,694.25 : x
  2. Step 2: Convert to fraction form
    13,884.75/28,694.25 = 28,694.25/x
  3. Step 3: Cross multiply
    13,884.75x = 28,694.25 × 28,694.25
  4. Step 4: Simplify right side
    13,884.75x = 823,359,983.06
  5. Step 5: Solve for x
    x = 823,359,983.06/13,884.75
  6. Step 6: Final answer
    x = 59,299.59

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.