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Finding the Third Proportional to 38,686 and 52,194

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Solution

The third proportional to 38,686 and 52,194 is: 70,418.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,686 : 52,194 = 52,194 : x
  2. Step 2: Convert to fraction form
    38,686/52,194 = 52,194/x
  3. Step 3: Cross multiply
    38,686x = 52,194 × 52,194
  4. Step 4: Simplify right side
    38,686x = 2,724,213,636
  5. Step 5: Solve for x
    x = 2,724,213,636/38,686
  6. Step 6: Final answer
    x = 70,418.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.