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Finding the Third Proportional to 5,949 and 14,069.25

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Solution

The third proportional to 5,949 and 14,069.25 is: 33,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949 : 14,069.25 = 14,069.25 : x
  2. Step 2: Convert to fraction form
    5,949/14,069.25 = 14,069.25/x
  3. Step 3: Cross multiply
    5,949x = 14,069.25 × 14,069.25
  4. Step 4: Simplify right side
    5,949x = 197,943,795.56
  5. Step 5: Solve for x
    x = 197,943,795.56/5,949
  6. Step 6: Final answer
    x = 33,273.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.