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Finding the Third Proportional to 39,540 and 94,512

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Solution

The third proportional to 39,540 and 94,512 is: 225,910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,540 : 94,512 = 94,512 : x
  2. Step 2: Convert to fraction form
    39,540/94,512 = 94,512/x
  3. Step 3: Cross multiply
    39,540x = 94,512 × 94,512
  4. Step 4: Simplify right side
    39,540x = 8,932,518,144
  5. Step 5: Solve for x
    x = 8,932,518,144/39,540
  6. Step 6: Final answer
    x = 225,910.93

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.