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Finding the Third Proportional to 4,099.99 and 8,783.23

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Solution

The third proportional to 4,099.99 and 8,783.23 is: 18,815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.99 : 8,783.23 = 8,783.23 : x
  2. Step 2: Convert to fraction form
    4,099.99/8,783.23 = 8,783.23/x
  3. Step 3: Cross multiply
    4,099.99x = 8,783.23 × 8,783.23
  4. Step 4: Simplify right side
    4,099.99x = 77,145,068.85
  5. Step 5: Solve for x
    x = 77,145,068.85/4,099.99
  6. Step 6: Final answer
    x = 18,815.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.