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Finding the Third Proportional to 11,689 and 25,322

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Solution

The third proportional to 11,689 and 25,322 is: 54,855.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689 : 25,322 = 25,322 : x
  2. Step 2: Convert to fraction form
    11,689/25,322 = 25,322/x
  3. Step 3: Cross multiply
    11,689x = 25,322 × 25,322
  4. Step 4: Simplify right side
    11,689x = 641,203,684
  5. Step 5: Solve for x
    x = 641,203,684/11,689
  6. Step 6: Final answer
    x = 54,855.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.