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Finding the Third Proportional to 3,277.50 and 7,313.25

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Solution

The third proportional to 3,277.50 and 7,313.25 is: 16,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.50 : 7,313.25 = 7,313.25 : x
  2. Step 2: Convert to fraction form
    3,277.50/7,313.25 = 7,313.25/x
  3. Step 3: Cross multiply
    3,277.50x = 7,313.25 × 7,313.25
  4. Step 4: Simplify right side
    3,277.50x = 53,483,625.56
  5. Step 5: Solve for x
    x = 53,483,625.56/3,277.50
  6. Step 6: Final answer
    x = 16,318.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.