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Finding the Third Proportional to 13,869 and 18,094.50

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Solution

The third proportional to 13,869 and 18,094.50 is: 23,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869 : 18,094.50 = 18,094.50 : x
  2. Step 2: Convert to fraction form
    13,869/18,094.50 = 18,094.50/x
  3. Step 3: Cross multiply
    13,869x = 18,094.50 × 18,094.50
  4. Step 4: Simplify right side
    13,869x = 327,410,930.25
  5. Step 5: Solve for x
    x = 327,410,930.25/13,869
  6. Step 6: Final answer
    x = 23,607.39

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.