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Finding the Third Proportional to 18,664 and 25,628

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Solution

The third proportional to 18,664 and 25,628 is: 35,190.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,664 : 25,628 = 25,628 : x
  2. Step 2: Convert to fraction form
    18,664/25,628 = 25,628/x
  3. Step 3: Cross multiply
    18,664x = 25,628 × 25,628
  4. Step 4: Simplify right side
    18,664x = 656,794,384
  5. Step 5: Solve for x
    x = 656,794,384/18,664
  6. Step 6: Final answer
    x = 35,190.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.