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Finding the Third Proportional to 34,208 and 51,175

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Solution

The third proportional to 34,208 and 51,175 is: 76,557.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,208 : 51,175 = 51,175 : x
  2. Step 2: Convert to fraction form
    34,208/51,175 = 51,175/x
  3. Step 3: Cross multiply
    34,208x = 51,175 × 51,175
  4. Step 4: Simplify right side
    34,208x = 2,618,880,625
  5. Step 5: Solve for x
    x = 2,618,880,625/34,208
  6. Step 6: Final answer
    x = 76,557.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.