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Finding the Third Proportional to 6,906.75 and 9,263.25

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Solution

The third proportional to 6,906.75 and 9,263.25 is: 12,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.75 : 9,263.25 = 9,263.25 : x
  2. Step 2: Convert to fraction form
    6,906.75/9,263.25 = 9,263.25/x
  3. Step 3: Cross multiply
    6,906.75x = 9,263.25 × 9,263.25
  4. Step 4: Simplify right side
    6,906.75x = 85,807,800.56
  5. Step 5: Solve for x
    x = 85,807,800.56/6,906.75
  6. Step 6: Final answer
    x = 12,423.76

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.