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Finding the Third Proportional to 38,961.38 and 85,212.75

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Solution

The third proportional to 38,961.38 and 85,212.75 is: 186,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,961.38 : 85,212.75 = 85,212.75 : x
  2. Step 2: Convert to fraction form
    38,961.38/85,212.75 = 85,212.75/x
  3. Step 3: Cross multiply
    38,961.38x = 85,212.75 × 85,212.75
  4. Step 4: Simplify right side
    38,961.38x = 7,261,212,762.56
  5. Step 5: Solve for x
    x = 7,261,212,762.56/38,961.38
  6. Step 6: Final answer
    x = 186,369.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.