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Finding the Third Proportional to 39,728 and 61,456

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Solution

The third proportional to 39,728 and 61,456 is: 95,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,728 : 61,456 = 61,456 : x
  2. Step 2: Convert to fraction form
    39,728/61,456 = 61,456/x
  3. Step 3: Cross multiply
    39,728x = 61,456 × 61,456
  4. Step 4: Simplify right side
    39,728x = 3,776,839,936
  5. Step 5: Solve for x
    x = 3,776,839,936/39,728
  6. Step 6: Final answer
    x = 95,067.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.