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Finding the Third Proportional to 4,105.50 and 6,317.25

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Solution

The third proportional to 4,105.50 and 6,317.25 is: 9,720.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.50 : 6,317.25 = 6,317.25 : x
  2. Step 2: Convert to fraction form
    4,105.50/6,317.25 = 6,317.25/x
  3. Step 3: Cross multiply
    4,105.50x = 6,317.25 × 6,317.25
  4. Step 4: Simplify right side
    4,105.50x = 39,907,647.56
  5. Step 5: Solve for x
    x = 39,907,647.56/4,105.50
  6. Step 6: Final answer
    x = 9,720.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.