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Finding the Third Proportional to 39,847 and 93,929

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Solution

The third proportional to 39,847 and 93,929 is: 221,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,847 : 93,929 = 93,929 : x
  2. Step 2: Convert to fraction form
    39,847/93,929 = 93,929/x
  3. Step 3: Cross multiply
    39,847x = 93,929 × 93,929
  4. Step 4: Simplify right side
    39,847x = 8,822,657,041
  5. Step 5: Solve for x
    x = 8,822,657,041/39,847
  6. Step 6: Final answer
    x = 221,413.33

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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.