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Finding the Third Proportional to 27,835.31 and 41,230.69

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Solution

The third proportional to 27,835.31 and 41,230.69 is: 61,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,835.31 : 41,230.69 = 41,230.69 : x
  2. Step 2: Convert to fraction form
    27,835.31/41,230.69 = 41,230.69/x
  3. Step 3: Cross multiply
    27,835.31x = 41,230.69 × 41,230.69
  4. Step 4: Simplify right side
    27,835.31x = 1,699,969,591.72
  5. Step 5: Solve for x
    x = 1,699,969,591.72/27,835.31
  6. Step 6: Final answer
    x = 61,072.41

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.