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Finding the Third Proportional to 2,770.50 and 6,003.38

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Solution

The third proportional to 2,770.50 and 6,003.38 is: 13,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.50 : 6,003.38 = 6,003.38 : x
  2. Step 2: Convert to fraction form
    2,770.50/6,003.38 = 6,003.38/x
  3. Step 3: Cross multiply
    2,770.50x = 6,003.38 × 6,003.38
  4. Step 4: Simplify right side
    2,770.50x = 36,040,511.39
  5. Step 5: Solve for x
    x = 36,040,511.39/2,770.50
  6. Step 6: Final answer
    x = 13,008.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.