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Finding the Third Proportional to 14,422 and 31,975

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Solution

The third proportional to 14,422 and 31,975 is: 70,891.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422 : 31,975 = 31,975 : x
  2. Step 2: Convert to fraction form
    14,422/31,975 = 31,975/x
  3. Step 3: Cross multiply
    14,422x = 31,975 × 31,975
  4. Step 4: Simplify right side
    14,422x = 1,022,400,625
  5. Step 5: Solve for x
    x = 1,022,400,625/14,422
  6. Step 6: Final answer
    x = 70,891.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.