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Finding the Third Proportional to 39,194 and 55,995

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Solution

The third proportional to 39,194 and 55,995 is: 79,997.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,194 : 55,995 = 55,995 : x
  2. Step 2: Convert to fraction form
    39,194/55,995 = 55,995/x
  3. Step 3: Cross multiply
    39,194x = 55,995 × 55,995
  4. Step 4: Simplify right side
    39,194x = 3,135,440,025
  5. Step 5: Solve for x
    x = 3,135,440,025/39,194
  6. Step 6: Final answer
    x = 79,997.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.