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Finding the Third Proportional to 34,976 and 52,600

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Solution

The third proportional to 34,976 and 52,600 is: 79,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,976 : 52,600 = 52,600 : x
  2. Step 2: Convert to fraction form
    34,976/52,600 = 52,600/x
  3. Step 3: Cross multiply
    34,976x = 52,600 × 52,600
  4. Step 4: Simplify right side
    34,976x = 2,766,760,000
  5. Step 5: Solve for x
    x = 2,766,760,000/34,976
  6. Step 6: Final answer
    x = 79,104.53

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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.