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Finding the Third Proportional to 18,468 and 40,626

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Solution

The third proportional to 18,468 and 40,626 is: 89,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,468 : 40,626 = 40,626 : x
  2. Step 2: Convert to fraction form
    18,468/40,626 = 40,626/x
  3. Step 3: Cross multiply
    18,468x = 40,626 × 40,626
  4. Step 4: Simplify right side
    18,468x = 1,650,471,876
  5. Step 5: Solve for x
    x = 1,650,471,876/18,468
  6. Step 6: Final answer
    x = 89,369.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.