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Finding the Third Proportional to 39,453 and 55,493

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Solution

The third proportional to 39,453 and 55,493 is: 78,054.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,453 : 55,493 = 55,493 : x
  2. Step 2: Convert to fraction form
    39,453/55,493 = 55,493/x
  3. Step 3: Cross multiply
    39,453x = 55,493 × 55,493
  4. Step 4: Simplify right side
    39,453x = 3,079,473,049
  5. Step 5: Solve for x
    x = 3,079,473,049/39,453
  6. Step 6: Final answer
    x = 78,054.22

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.