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Finding the Third Proportional to 27,091.50 and 36,236.25

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Solution

The third proportional to 27,091.50 and 36,236.25 is: 48,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,091.50 : 36,236.25 = 36,236.25 : x
  2. Step 2: Convert to fraction form
    27,091.50/36,236.25 = 36,236.25/x
  3. Step 3: Cross multiply
    27,091.50x = 36,236.25 × 36,236.25
  4. Step 4: Simplify right side
    27,091.50x = 1,313,065,814.06
  5. Step 5: Solve for x
    x = 1,313,065,814.06/27,091.50
  6. Step 6: Final answer
    x = 48,467.82

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.