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Finding the Third Proportional to 31,922 and 51,232

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Solution

The third proportional to 31,922 and 51,232 is: 82,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,922 : 51,232 = 51,232 : x
  2. Step 2: Convert to fraction form
    31,922/51,232 = 51,232/x
  3. Step 3: Cross multiply
    31,922x = 51,232 × 51,232
  4. Step 4: Simplify right side
    31,922x = 2,624,717,824
  5. Step 5: Solve for x
    x = 2,624,717,824/31,922
  6. Step 6: Final answer
    x = 82,222.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.