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Finding the Third Proportional to 6,819.19 and 8,034.19

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Solution

The third proportional to 6,819.19 and 8,034.19 is: 9,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.19 : 8,034.19 = 8,034.19 : x
  2. Step 2: Convert to fraction form
    6,819.19/8,034.19 = 8,034.19/x
  3. Step 3: Cross multiply
    6,819.19x = 8,034.19 × 8,034.19
  4. Step 4: Simplify right side
    6,819.19x = 64,548,168.79
  5. Step 5: Solve for x
    x = 64,548,168.79/6,819.19
  6. Step 6: Final answer
    x = 9,465.67

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.