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Finding the Third Proportional to 31,858 and 50,603

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Solution

The third proportional to 31,858 and 50,603 is: 80,377.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,858 : 50,603 = 50,603 : x
  2. Step 2: Convert to fraction form
    31,858/50,603 = 50,603/x
  3. Step 3: Cross multiply
    31,858x = 50,603 × 50,603
  4. Step 4: Simplify right side
    31,858x = 2,560,663,609
  5. Step 5: Solve for x
    x = 2,560,663,609/31,858
  6. Step 6: Final answer
    x = 80,377.41

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.