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Finding the Third Proportional to 39,936 and 61,116

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Solution

The third proportional to 39,936 and 61,116 is: 93,528.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,936 : 61,116 = 61,116 : x
  2. Step 2: Convert to fraction form
    39,936/61,116 = 61,116/x
  3. Step 3: Cross multiply
    39,936x = 61,116 × 61,116
  4. Step 4: Simplify right side
    39,936x = 3,735,165,456
  5. Step 5: Solve for x
    x = 3,735,165,456/39,936
  6. Step 6: Final answer
    x = 93,528.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.