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Finding the Third Proportional to 11,853 and 16,689

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Solution

The third proportional to 11,853 and 16,689 is: 23,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853 : 16,689 = 16,689 : x
  2. Step 2: Convert to fraction form
    11,853/16,689 = 16,689/x
  3. Step 3: Cross multiply
    11,853x = 16,689 × 16,689
  4. Step 4: Simplify right side
    11,853x = 278,522,721
  5. Step 5: Solve for x
    x = 278,522,721/11,853
  6. Step 6: Final answer
    x = 23,498.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.