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Finding the Third Proportional to 4,199.63 and 8,853.75

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Solution

The third proportional to 4,199.63 and 8,853.75 is: 18,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.63 : 8,853.75 = 8,853.75 : x
  2. Step 2: Convert to fraction form
    4,199.63/8,853.75 = 8,853.75/x
  3. Step 3: Cross multiply
    4,199.63x = 8,853.75 × 8,853.75
  4. Step 4: Simplify right side
    4,199.63x = 78,388,889.06
  5. Step 5: Solve for x
    x = 78,388,889.06/4,199.63
  6. Step 6: Final answer
    x = 18,665.69

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.