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Finding the Third Proportional to 16,850 and 39,869

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Solution

The third proportional to 16,850 and 39,869 is: 94,334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,850 : 39,869 = 39,869 : x
  2. Step 2: Convert to fraction form
    16,850/39,869 = 39,869/x
  3. Step 3: Cross multiply
    16,850x = 39,869 × 39,869
  4. Step 4: Simplify right side
    16,850x = 1,589,537,161
  5. Step 5: Solve for x
    x = 1,589,537,161/16,850
  6. Step 6: Final answer
    x = 94,334.55

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.