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Finding the Third Proportional to 27,894.38 and 41,902.31

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Solution

The third proportional to 27,894.38 and 41,902.31 is: 62,944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.38 : 41,902.31 = 41,902.31 : x
  2. Step 2: Convert to fraction form
    27,894.38/41,902.31 = 41,902.31/x
  3. Step 3: Cross multiply
    27,894.38x = 41,902.31 × 41,902.31
  4. Step 4: Simplify right side
    27,894.38x = 1,755,803,792.85
  5. Step 5: Solve for x
    x = 1,755,803,792.85/27,894.38
  6. Step 6: Final answer
    x = 62,944.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.