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Finding the Third Proportional to 38,021.91 and 58,593.38

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Solution

The third proportional to 38,021.91 and 58,593.38 is: 90,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,021.91 : 58,593.38 = 58,593.38 : x
  2. Step 2: Convert to fraction form
    38,021.91/58,593.38 = 58,593.38/x
  3. Step 3: Cross multiply
    38,021.91x = 58,593.38 × 58,593.38
  4. Step 4: Simplify right side
    38,021.91x = 3,433,183,593.89
  5. Step 5: Solve for x
    x = 3,433,183,593.89/38,021.91
  6. Step 6: Final answer
    x = 90,294.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.