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Finding the Third Proportional to 9,936.38 and 13,926.75

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Solution

The third proportional to 9,936.38 and 13,926.75 is: 19,519.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.38 : 13,926.75 = 13,926.75 : x
  2. Step 2: Convert to fraction form
    9,936.38/13,926.75 = 13,926.75/x
  3. Step 3: Cross multiply
    9,936.38x = 13,926.75 × 13,926.75
  4. Step 4: Simplify right side
    9,936.38x = 193,954,365.56
  5. Step 5: Solve for x
    x = 193,954,365.56/9,936.38
  6. Step 6: Final answer
    x = 19,519.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.