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Finding the Third Proportional to 31,815 and 73,962

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Solution

The third proportional to 31,815 and 73,962 is: 171,943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,815 : 73,962 = 73,962 : x
  2. Step 2: Convert to fraction form
    31,815/73,962 = 73,962/x
  3. Step 3: Cross multiply
    31,815x = 73,962 × 73,962
  4. Step 4: Simplify right side
    31,815x = 5,470,377,444
  5. Step 5: Solve for x
    x = 5,470,377,444/31,815
  6. Step 6: Final answer
    x = 171,943.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.