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Finding the Third Proportional to 39,576.75 and 55,734

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Solution

The third proportional to 39,576.75 and 55,734 is: 78,487.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,576.75 : 55,734 = 55,734 : x
  2. Step 2: Convert to fraction form
    39,576.75/55,734 = 55,734/x
  3. Step 3: Cross multiply
    39,576.75x = 55,734 × 55,734
  4. Step 4: Simplify right side
    39,576.75x = 3,106,278,756
  5. Step 5: Solve for x
    x = 3,106,278,756/39,576.75
  6. Step 6: Final answer
    x = 78,487.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.