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Finding the Third Proportional to 6,819.19 and 9,163.76

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Solution

The third proportional to 6,819.19 and 9,163.76 is: 12,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.19 : 9,163.76 = 9,163.76 : x
  2. Step 2: Convert to fraction form
    6,819.19/9,163.76 = 9,163.76/x
  3. Step 3: Cross multiply
    6,819.19x = 9,163.76 × 9,163.76
  4. Step 4: Simplify right side
    6,819.19x = 83,974,457.25
  5. Step 5: Solve for x
    x = 83,974,457.25/6,819.19
  6. Step 6: Final answer
    x = 12,314.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.