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Finding the Third Proportional to 4,819.92 and 10,253.67

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Solution

The third proportional to 4,819.92 and 10,253.67 is: 21,813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.92 : 10,253.67 = 10,253.67 : x
  2. Step 2: Convert to fraction form
    4,819.92/10,253.67 = 10,253.67/x
  3. Step 3: Cross multiply
    4,819.92x = 10,253.67 × 10,253.67
  4. Step 4: Simplify right side
    4,819.92x = 105,137,786.92
  5. Step 5: Solve for x
    x = 105,137,786.92/4,819.92
  6. Step 6: Final answer
    x = 21,813.17

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.