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Finding the Third Proportional to 5,476.75 and 8,205.78

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Solution

The third proportional to 5,476.75 and 8,205.78 is: 12,294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.75 : 8,205.78 = 8,205.78 : x
  2. Step 2: Convert to fraction form
    5,476.75/8,205.78 = 8,205.78/x
  3. Step 3: Cross multiply
    5,476.75x = 8,205.78 × 8,205.78
  4. Step 4: Simplify right side
    5,476.75x = 67,334,845.92
  5. Step 5: Solve for x
    x = 67,334,845.92/5,476.75
  6. Step 6: Final answer
    x = 12,294.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.