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Finding the Third Proportional to 38,609.94 and 84,600.97

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Solution

The third proportional to 38,609.94 and 84,600.97 is: 185,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,609.94 : 84,600.97 = 84,600.97 : x
  2. Step 2: Convert to fraction form
    38,609.94/84,600.97 = 84,600.97/x
  3. Step 3: Cross multiply
    38,609.94x = 84,600.97 × 84,600.97
  4. Step 4: Simplify right side
    38,609.94x = 7,157,323,913.44
  5. Step 5: Solve for x
    x = 7,157,323,913.44/38,609.94
  6. Step 6: Final answer
    x = 185,375.17

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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.