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Finding the Third Proportional to 4,096.97 and 8,778.09

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Solution

The third proportional to 4,096.97 and 8,778.09 is: 18,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.97 : 8,778.09 = 8,778.09 : x
  2. Step 2: Convert to fraction form
    4,096.97/8,778.09 = 8,778.09/x
  3. Step 3: Cross multiply
    4,096.97x = 8,778.09 × 8,778.09
  4. Step 4: Simplify right side
    4,096.97x = 77,054,929.88
  5. Step 5: Solve for x
    x = 77,054,929.88/4,096.97
  6. Step 6: Final answer
    x = 18,807.79

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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.