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Finding the Third Proportional to 6,163.75 and 9,290.48

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Solution

The third proportional to 6,163.75 and 9,290.48 is: 14,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.75 : 9,290.48 = 9,290.48 : x
  2. Step 2: Convert to fraction form
    6,163.75/9,290.48 = 9,290.48/x
  3. Step 3: Cross multiply
    6,163.75x = 9,290.48 × 9,290.48
  4. Step 4: Simplify right side
    6,163.75x = 86,312,991.05
  5. Step 5: Solve for x
    x = 86,312,991.05/6,163.75
  6. Step 6: Final answer
    x = 14,003.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.