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Finding the Third Proportional to 31,795 and 50,337

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Solution

The third proportional to 31,795 and 50,337 is: 79,692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,795 : 50,337 = 50,337 : x
  2. Step 2: Convert to fraction form
    31,795/50,337 = 50,337/x
  3. Step 3: Cross multiply
    31,795x = 50,337 × 50,337
  4. Step 4: Simplify right side
    31,795x = 2,533,813,569
  5. Step 5: Solve for x
    x = 2,533,813,569/31,795
  6. Step 6: Final answer
    x = 79,692.20

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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.