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Finding the Third Proportional to 4,116.38 and 9,072.56

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Solution

The third proportional to 4,116.38 and 9,072.56 is: 19,996.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.38 : 9,072.56 = 9,072.56 : x
  2. Step 2: Convert to fraction form
    4,116.38/9,072.56 = 9,072.56/x
  3. Step 3: Cross multiply
    4,116.38x = 9,072.56 × 9,072.56
  4. Step 4: Simplify right side
    4,116.38x = 82,311,390.32
  5. Step 5: Solve for x
    x = 82,311,390.32/4,116.38
  6. Step 6: Final answer
    x = 19,996.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.