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Finding the Third Proportional to 39,933 and 94,116

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Solution

The third proportional to 39,933 and 94,116 is: 221,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,933 : 94,116 = 94,116 : x
  2. Step 2: Convert to fraction form
    39,933/94,116 = 94,116/x
  3. Step 3: Cross multiply
    39,933x = 94,116 × 94,116
  4. Step 4: Simplify right side
    39,933x = 8,857,821,456
  5. Step 5: Solve for x
    x = 8,857,821,456/39,933
  6. Step 6: Final answer
    x = 221,817.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.