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Finding the Third Proportional to 16,234 and 34,933

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Solution

The third proportional to 16,234 and 34,933 is: 75,170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234 : 34,933 = 34,933 : x
  2. Step 2: Convert to fraction form
    16,234/34,933 = 34,933/x
  3. Step 3: Cross multiply
    16,234x = 34,933 × 34,933
  4. Step 4: Simplify right side
    16,234x = 1,220,314,489
  5. Step 5: Solve for x
    x = 1,220,314,489/16,234
  6. Step 6: Final answer
    x = 75,170.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.