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Finding the Third Proportional to 11,623 and 16,759

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Solution

The third proportional to 11,623 and 16,759 is: 24,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623 : 16,759 = 16,759 : x
  2. Step 2: Convert to fraction form
    11,623/16,759 = 16,759/x
  3. Step 3: Cross multiply
    11,623x = 16,759 × 16,759
  4. Step 4: Simplify right side
    11,623x = 280,864,081
  5. Step 5: Solve for x
    x = 280,864,081/11,623
  6. Step 6: Final answer
    x = 24,164.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.