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Finding the Third Proportional to 38,274 and 84,092

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Solution

The third proportional to 38,274 and 84,092 is: 184,758.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,274 : 84,092 = 84,092 : x
  2. Step 2: Convert to fraction form
    38,274/84,092 = 84,092/x
  3. Step 3: Cross multiply
    38,274x = 84,092 × 84,092
  4. Step 4: Simplify right side
    38,274x = 7,071,464,464
  5. Step 5: Solve for x
    x = 7,071,464,464/38,274
  6. Step 6: Final answer
    x = 184,758.96

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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.