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Finding the Third Proportional to 11,539 and 24,834

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Solution

The third proportional to 11,539 and 24,834 is: 53,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539 : 24,834 = 24,834 : x
  2. Step 2: Convert to fraction form
    11,539/24,834 = 24,834/x
  3. Step 3: Cross multiply
    11,539x = 24,834 × 24,834
  4. Step 4: Simplify right side
    11,539x = 616,727,556
  5. Step 5: Solve for x
    x = 616,727,556/11,539
  6. Step 6: Final answer
    x = 53,447.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.