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Finding the Third Proportional to 32,194 and 51,227

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Solution

The third proportional to 32,194 and 51,227 is: 81,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194 : 51,227 = 51,227 : x
  2. Step 2: Convert to fraction form
    32,194/51,227 = 51,227/x
  3. Step 3: Cross multiply
    32,194x = 51,227 × 51,227
  4. Step 4: Simplify right side
    32,194x = 2,624,205,529
  5. Step 5: Solve for x
    x = 2,624,205,529/32,194
  6. Step 6: Final answer
    x = 81,512.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.