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Finding the Third Proportional to 13,936.50 and 30,006

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Solution

The third proportional to 13,936.50 and 30,006 is: 64,604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,936.50 : 30,006 = 30,006 : x
  2. Step 2: Convert to fraction form
    13,936.50/30,006 = 30,006/x
  3. Step 3: Cross multiply
    13,936.50x = 30,006 × 30,006
  4. Step 4: Simplify right side
    13,936.50x = 900,360,036
  5. Step 5: Solve for x
    x = 900,360,036/13,936.50
  6. Step 6: Final answer
    x = 64,604.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.