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Finding the Third Proportional to 20,194 and 47,889

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Solution

The third proportional to 20,194 and 47,889 is: 113,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194 : 47,889 = 47,889 : x
  2. Step 2: Convert to fraction form
    20,194/47,889 = 47,889/x
  3. Step 3: Cross multiply
    20,194x = 47,889 × 47,889
  4. Step 4: Simplify right side
    20,194x = 2,293,356,321
  5. Step 5: Solve for x
    x = 2,293,356,321/20,194
  6. Step 6: Final answer
    x = 113,566.22

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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.