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Finding the Third Proportional to 26,529 and 39,791.25

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Solution

The third proportional to 26,529 and 39,791.25 is: 59,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,529 : 39,791.25 = 39,791.25 : x
  2. Step 2: Convert to fraction form
    26,529/39,791.25 = 39,791.25/x
  3. Step 3: Cross multiply
    26,529x = 39,791.25 × 39,791.25
  4. Step 4: Simplify right side
    26,529x = 1,583,343,576.56
  5. Step 5: Solve for x
    x = 1,583,343,576.56/26,529
  6. Step 6: Final answer
    x = 59,683.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.