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Finding the Third Proportional to 6,777 and 7,263

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Solution

The third proportional to 6,777 and 7,263 is: 7,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777 : 7,263 = 7,263 : x
  2. Step 2: Convert to fraction form
    6,777/7,263 = 7,263/x
  3. Step 3: Cross multiply
    6,777x = 7,263 × 7,263
  4. Step 4: Simplify right side
    6,777x = 52,751,169
  5. Step 5: Solve for x
    x = 52,751,169/6,777
  6. Step 6: Final answer
    x = 7,783.85

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.