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Finding the Third Proportional to 27,540.07 and 37,157.98

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Solution

The third proportional to 27,540.07 and 37,157.98 is: 50,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,540.07 : 37,157.98 = 37,157.98 : x
  2. Step 2: Convert to fraction form
    27,540.07/37,157.98 = 37,157.98/x
  3. Step 3: Cross multiply
    27,540.07x = 37,157.98 × 37,157.98
  4. Step 4: Simplify right side
    27,540.07x = 1,380,715,222.22
  5. Step 5: Solve for x
    x = 1,380,715,222.22/27,540.07
  6. Step 6: Final answer
    x = 50,134.77

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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.