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Finding the Third Proportional to 11,833 and 24,014

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Solution

The third proportional to 11,833 and 24,014 is: 48,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833 : 24,014 = 24,014 : x
  2. Step 2: Convert to fraction form
    11,833/24,014 = 24,014/x
  3. Step 3: Cross multiply
    11,833x = 24,014 × 24,014
  4. Step 4: Simplify right side
    11,833x = 576,672,196
  5. Step 5: Solve for x
    x = 576,672,196/11,833
  6. Step 6: Final answer
    x = 48,734.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.