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Finding the Third Proportional to 18,546 and 40,800

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Solution

The third proportional to 18,546 and 40,800 is: 89,757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,546 : 40,800 = 40,800 : x
  2. Step 2: Convert to fraction form
    18,546/40,800 = 40,800/x
  3. Step 3: Cross multiply
    18,546x = 40,800 × 40,800
  4. Step 4: Simplify right side
    18,546x = 1,664,640,000
  5. Step 5: Solve for x
    x = 1,664,640,000/18,546
  6. Step 6: Final answer
    x = 89,757.36

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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.