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Finding the Third Proportional to 36,180 and 54,498

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Solution

The third proportional to 36,180 and 54,498 is: 82,090.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,180 : 54,498 = 54,498 : x
  2. Step 2: Convert to fraction form
    36,180/54,498 = 54,498/x
  3. Step 3: Cross multiply
    36,180x = 54,498 × 54,498
  4. Step 4: Simplify right side
    36,180x = 2,970,032,004
  5. Step 5: Solve for x
    x = 2,970,032,004/36,180
  6. Step 6: Final answer
    x = 82,090.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.