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Finding the Third Proportional to 36,360 and 54,296

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Solution

The third proportional to 36,360 and 54,296 is: 81,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,360 : 54,296 = 54,296 : x
  2. Step 2: Convert to fraction form
    36,360/54,296 = 54,296/x
  3. Step 3: Cross multiply
    36,360x = 54,296 × 54,296
  4. Step 4: Simplify right side
    36,360x = 2,948,055,616
  5. Step 5: Solve for x
    x = 2,948,055,616/36,360
  6. Step 6: Final answer
    x = 81,079.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.