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Finding the Third Proportional to 10,638 and 24,845

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Solution

The third proportional to 10,638 and 24,845 is: 58,025.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638 : 24,845 = 24,845 : x
  2. Step 2: Convert to fraction form
    10,638/24,845 = 24,845/x
  3. Step 3: Cross multiply
    10,638x = 24,845 × 24,845
  4. Step 4: Simplify right side
    10,638x = 617,274,025
  5. Step 5: Solve for x
    x = 617,274,025/10,638
  6. Step 6: Final answer
    x = 58,025.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.