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Finding the Third Proportional to 11,829 and 25,845

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Solution

The third proportional to 11,829 and 25,845 is: 56,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829 : 25,845 = 25,845 : x
  2. Step 2: Convert to fraction form
    11,829/25,845 = 25,845/x
  3. Step 3: Cross multiply
    11,829x = 25,845 × 25,845
  4. Step 4: Simplify right side
    11,829x = 667,964,025
  5. Step 5: Solve for x
    x = 667,964,025/11,829
  6. Step 6: Final answer
    x = 56,468.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.