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Finding the Third Proportional to 19,059 and 41,997

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Solution

The third proportional to 19,059 and 41,997 is: 92,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,059 : 41,997 = 41,997 : x
  2. Step 2: Convert to fraction form
    19,059/41,997 = 41,997/x
  3. Step 3: Cross multiply
    19,059x = 41,997 × 41,997
  4. Step 4: Simplify right side
    19,059x = 1,763,748,009
  5. Step 5: Solve for x
    x = 1,763,748,009/19,059
  6. Step 6: Final answer
    x = 92,541.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.