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Finding the Third Proportional to 11,599 and 24,837

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Solution

The third proportional to 11,599 and 24,837 is: 53,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599 : 24,837 = 24,837 : x
  2. Step 2: Convert to fraction form
    11,599/24,837 = 24,837/x
  3. Step 3: Cross multiply
    11,599x = 24,837 × 24,837
  4. Step 4: Simplify right side
    11,599x = 616,876,569
  5. Step 5: Solve for x
    x = 616,876,569/11,599
  6. Step 6: Final answer
    x = 53,183.60

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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.