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Finding the Third Proportional to 47,762 and 71,626

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Solution

The third proportional to 47,762 and 71,626 is: 107,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,762 : 71,626 = 71,626 : x
  2. Step 2: Convert to fraction form
    47,762/71,626 = 71,626/x
  3. Step 3: Cross multiply
    47,762x = 71,626 × 71,626
  4. Step 4: Simplify right side
    47,762x = 5,130,283,876
  5. Step 5: Solve for x
    x = 5,130,283,876/47,762
  6. Step 6: Final answer
    x = 107,413.51

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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.