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Finding the Third Proportional to 21,379 and 33,185

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Solution

The third proportional to 21,379 and 33,185 is: 51,510.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,379 : 33,185 = 33,185 : x
  2. Step 2: Convert to fraction form
    21,379/33,185 = 33,185/x
  3. Step 3: Cross multiply
    21,379x = 33,185 × 33,185
  4. Step 4: Simplify right side
    21,379x = 1,101,244,225
  5. Step 5: Solve for x
    x = 1,101,244,225/21,379
  6. Step 6: Final answer
    x = 51,510.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.