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Finding the Third Proportional to 6,830.10 and 9,604.43

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Solution

The third proportional to 6,830.10 and 9,604.43 is: 13,505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.10 : 9,604.43 = 9,604.43 : x
  2. Step 2: Convert to fraction form
    6,830.10/9,604.43 = 9,604.43/x
  3. Step 3: Cross multiply
    6,830.10x = 9,604.43 × 9,604.43
  4. Step 4: Simplify right side
    6,830.10x = 92,245,125.90
  5. Step 5: Solve for x
    x = 92,245,125.90/6,830.10
  6. Step 6: Final answer
    x = 13,505.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.