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Finding the Third Proportional to 35,108 and 52,540

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Solution

The third proportional to 35,108 and 52,540 is: 78,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,108 : 52,540 = 52,540 : x
  2. Step 2: Convert to fraction form
    35,108/52,540 = 52,540/x
  3. Step 3: Cross multiply
    35,108x = 52,540 × 52,540
  4. Step 4: Simplify right side
    35,108x = 2,760,451,600
  5. Step 5: Solve for x
    x = 2,760,451,600/35,108
  6. Step 6: Final answer
    x = 78,627.42

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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.