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Finding the Third Proportional to 38,991.38 and 85,404.38

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Solution

The third proportional to 38,991.38 and 85,404.38 is: 187,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,991.38 : 85,404.38 = 85,404.38 : x
  2. Step 2: Convert to fraction form
    38,991.38/85,404.38 = 85,404.38/x
  3. Step 3: Cross multiply
    38,991.38x = 85,404.38 × 85,404.38
  4. Step 4: Simplify right side
    38,991.38x = 7,293,907,269.14
  5. Step 5: Solve for x
    x = 7,293,907,269.14/38,991.38
  6. Step 6: Final answer
    x = 187,064.63

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