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Finding the Third Proportional to 21,019 and 45,227

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Solution

The third proportional to 21,019 and 45,227 is: 97,315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,019 : 45,227 = 45,227 : x
  2. Step 2: Convert to fraction form
    21,019/45,227 = 45,227/x
  3. Step 3: Cross multiply
    21,019x = 45,227 × 45,227
  4. Step 4: Simplify right side
    21,019x = 2,045,481,529
  5. Step 5: Solve for x
    x = 2,045,481,529/21,019
  6. Step 6: Final answer
    x = 97,315.83

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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.