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Finding the Third Proportional to 11,599 and 24,836

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Solution

The third proportional to 11,599 and 24,836 is: 53,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599 : 24,836 = 24,836 : x
  2. Step 2: Convert to fraction form
    11,599/24,836 = 24,836/x
  3. Step 3: Cross multiply
    11,599x = 24,836 × 24,836
  4. Step 4: Simplify right side
    11,599x = 616,826,896
  5. Step 5: Solve for x
    x = 616,826,896/11,599
  6. Step 6: Final answer
    x = 53,179.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.