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Finding the Third Proportional to 27,382.50 and 36,911.25

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Solution

The third proportional to 27,382.50 and 36,911.25 is: 49,755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.50 : 36,911.25 = 36,911.25 : x
  2. Step 2: Convert to fraction form
    27,382.50/36,911.25 = 36,911.25/x
  3. Step 3: Cross multiply
    27,382.50x = 36,911.25 × 36,911.25
  4. Step 4: Simplify right side
    27,382.50x = 1,362,440,376.56
  5. Step 5: Solve for x
    x = 1,362,440,376.56/27,382.50
  6. Step 6: Final answer
    x = 49,755.88

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.