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Finding the Third Proportional to 39,474 and 62,745.75

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Solution

The third proportional to 39,474 and 62,745.75 is: 99,737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,474 : 62,745.75 = 62,745.75 : x
  2. Step 2: Convert to fraction form
    39,474/62,745.75 = 62,745.75/x
  3. Step 3: Cross multiply
    39,474x = 62,745.75 × 62,745.75
  4. Step 4: Simplify right side
    39,474x = 3,937,029,143.06
  5. Step 5: Solve for x
    x = 3,937,029,143.06/39,474
  6. Step 6: Final answer
    x = 99,737.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.