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Finding the Third Proportional to 27,704.25 and 57,039.75

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Solution

The third proportional to 27,704.25 and 57,039.75 is: 117,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,704.25 : 57,039.75 = 57,039.75 : x
  2. Step 2: Convert to fraction form
    27,704.25/57,039.75 = 57,039.75/x
  3. Step 3: Cross multiply
    27,704.25x = 57,039.75 × 57,039.75
  4. Step 4: Simplify right side
    27,704.25x = 3,253,533,080.06
  5. Step 5: Solve for x
    x = 3,253,533,080.06/27,704.25
  6. Step 6: Final answer
    x = 117,438.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.