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Finding the Third Proportional to 38,469.75 and 86,817.38

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Solution

The third proportional to 38,469.75 and 86,817.38 is: 195,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,469.75 : 86,817.38 = 86,817.38 : x
  2. Step 2: Convert to fraction form
    38,469.75/86,817.38 = 86,817.38/x
  3. Step 3: Cross multiply
    38,469.75x = 86,817.38 × 86,817.38
  4. Step 4: Simplify right side
    38,469.75x = 7,537,256,601.89
  5. Step 5: Solve for x
    x = 7,537,256,601.89/38,469.75
  6. Step 6: Final answer
    x = 195,926.84

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.