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Finding the Third Proportional to 36,348 and 54,794

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Solution

The third proportional to 36,348 and 54,794 is: 82,601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,348 : 54,794 = 54,794 : x
  2. Step 2: Convert to fraction form
    36,348/54,794 = 54,794/x
  3. Step 3: Cross multiply
    36,348x = 54,794 × 54,794
  4. Step 4: Simplify right side
    36,348x = 3,002,382,436
  5. Step 5: Solve for x
    x = 3,002,382,436/36,348
  6. Step 6: Final answer
    x = 82,601.04

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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.