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Finding the Third Proportional to 39,936 and 87,324

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Solution

The third proportional to 39,936 and 87,324 is: 190,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,936 : 87,324 = 87,324 : x
  2. Step 2: Convert to fraction form
    39,936/87,324 = 87,324/x
  3. Step 3: Cross multiply
    39,936x = 87,324 × 87,324
  4. Step 4: Simplify right side
    39,936x = 7,625,480,976
  5. Step 5: Solve for x
    x = 7,625,480,976/39,936
  6. Step 6: Final answer
    x = 190,942.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.