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Finding the Third Proportional to 47,504 and 71,571

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Solution

The third proportional to 47,504 and 71,571 is: 107,831.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,504 : 71,571 = 71,571 : x
  2. Step 2: Convert to fraction form
    47,504/71,571 = 71,571/x
  3. Step 3: Cross multiply
    47,504x = 71,571 × 71,571
  4. Step 4: Simplify right side
    47,504x = 5,122,408,041
  5. Step 5: Solve for x
    x = 5,122,408,041/47,504
  6. Step 6: Final answer
    x = 107,831.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.