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Finding the Third Proportional to 4,059 and 5,969.25

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Solution

The third proportional to 4,059 and 5,969.25 is: 8,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059 : 5,969.25 = 5,969.25 : x
  2. Step 2: Convert to fraction form
    4,059/5,969.25 = 5,969.25/x
  3. Step 3: Cross multiply
    4,059x = 5,969.25 × 5,969.25
  4. Step 4: Simplify right side
    4,059x = 35,631,945.56
  5. Step 5: Solve for x
    x = 35,631,945.56/4,059
  6. Step 6: Final answer
    x = 8,778.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.