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Finding the Third Proportional to 36,768 and 55,007

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Solution

The third proportional to 36,768 and 55,007 is: 82,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,768 : 55,007 = 55,007 : x
  2. Step 2: Convert to fraction form
    36,768/55,007 = 55,007/x
  3. Step 3: Cross multiply
    36,768x = 55,007 × 55,007
  4. Step 4: Simplify right side
    36,768x = 3,025,770,049
  5. Step 5: Solve for x
    x = 3,025,770,049/36,768
  6. Step 6: Final answer
    x = 82,293.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.