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Finding the Third Proportional to 38,166.75 and 58,383.38

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Solution

The third proportional to 38,166.75 and 58,383.38 is: 89,308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,166.75 : 58,383.38 = 58,383.38 : x
  2. Step 2: Convert to fraction form
    38,166.75/58,383.38 = 58,383.38/x
  3. Step 3: Cross multiply
    38,166.75x = 58,383.38 × 58,383.38
  4. Step 4: Simplify right side
    38,166.75x = 3,408,618,476.39
  5. Step 5: Solve for x
    x = 3,408,618,476.39/38,166.75
  6. Step 6: Final answer
    x = 89,308.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.