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Finding the Third Proportional to 7,819.03 and 11,738.67

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Solution

The third proportional to 7,819.03 and 11,738.67 is: 17,623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.03 : 11,738.67 = 11,738.67 : x
  2. Step 2: Convert to fraction form
    7,819.03/11,738.67 = 11,738.67/x
  3. Step 3: Cross multiply
    7,819.03x = 11,738.67 × 11,738.67
  4. Step 4: Simplify right side
    7,819.03x = 137,796,417.39
  5. Step 5: Solve for x
    x = 137,796,417.39/7,819.03
  6. Step 6: Final answer
    x = 17,623.21

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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.