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Finding the Third Proportional to 31,444 and 47,571

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Solution

The third proportional to 31,444 and 47,571 is: 71,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,444 : 47,571 = 47,571 : x
  2. Step 2: Convert to fraction form
    31,444/47,571 = 47,571/x
  3. Step 3: Cross multiply
    31,444x = 47,571 × 47,571
  4. Step 4: Simplify right side
    31,444x = 2,263,000,041
  5. Step 5: Solve for x
    x = 2,263,000,041/31,444
  6. Step 6: Final answer
    x = 71,969.22

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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.