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Finding the Third Proportional to 8,034.19 and 11,819.67

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Solution

The third proportional to 8,034.19 and 11,819.67 is: 17,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.19 : 11,819.67 = 11,819.67 : x
  2. Step 2: Convert to fraction form
    8,034.19/11,819.67 = 11,819.67/x
  3. Step 3: Cross multiply
    8,034.19x = 11,819.67 × 11,819.67
  4. Step 4: Simplify right side
    8,034.19x = 139,704,643.23
  5. Step 5: Solve for x
    x = 139,704,643.23/8,034.19
  6. Step 6: Final answer
    x = 17,388.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.