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Finding the Third Proportional to 22,849 and 34,273

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Solution

The third proportional to 22,849 and 34,273 is: 51,408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,849 : 34,273 = 34,273 : x
  2. Step 2: Convert to fraction form
    22,849/34,273 = 34,273/x
  3. Step 3: Cross multiply
    22,849x = 34,273 × 34,273
  4. Step 4: Simplify right side
    22,849x = 1,174,638,529
  5. Step 5: Solve for x
    x = 1,174,638,529/22,849
  6. Step 6: Final answer
    x = 51,408.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.