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Finding the Third Proportional to 31,675 and 50,153

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Solution

The third proportional to 31,675 and 50,153 is: 79,410.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,675 : 50,153 = 50,153 : x
  2. Step 2: Convert to fraction form
    31,675/50,153 = 50,153/x
  3. Step 3: Cross multiply
    31,675x = 50,153 × 50,153
  4. Step 4: Simplify right side
    31,675x = 2,515,323,409
  5. Step 5: Solve for x
    x = 2,515,323,409/31,675
  6. Step 6: Final answer
    x = 79,410.37

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.