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Finding the Third Proportional to 11,664 and 24,849

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Solution

The third proportional to 11,664 and 24,849 is: 52,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664 : 24,849 = 24,849 : x
  2. Step 2: Convert to fraction form
    11,664/24,849 = 24,849/x
  3. Step 3: Cross multiply
    11,664x = 24,849 × 24,849
  4. Step 4: Simplify right side
    11,664x = 617,472,801
  5. Step 5: Solve for x
    x = 617,472,801/11,664
  6. Step 6: Final answer
    x = 52,938.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.