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Finding the Third Proportional to 11,508 and 24,717

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Solution

The third proportional to 11,508 and 24,717 is: 53,087.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,508 : 24,717 = 24,717 : x
  2. Step 2: Convert to fraction form
    11,508/24,717 = 24,717/x
  3. Step 3: Cross multiply
    11,508x = 24,717 × 24,717
  4. Step 4: Simplify right side
    11,508x = 610,930,089
  5. Step 5: Solve for x
    x = 610,930,089/11,508
  6. Step 6: Final answer
    x = 53,087.43

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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.