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Finding the Third Proportional to 35,702 and 50,150

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Solution

The third proportional to 35,702 and 50,150 is: 70,444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,702 : 50,150 = 50,150 : x
  2. Step 2: Convert to fraction form
    35,702/50,150 = 50,150/x
  3. Step 3: Cross multiply
    35,702x = 50,150 × 50,150
  4. Step 4: Simplify right side
    35,702x = 2,515,022,500
  5. Step 5: Solve for x
    x = 2,515,022,500/35,702
  6. Step 6: Final answer
    x = 70,444.86

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.