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Finding the Third Proportional to 36,348 and 54,704

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Solution

The third proportional to 36,348 and 54,704 is: 82,329.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,348 : 54,704 = 54,704 : x
  2. Step 2: Convert to fraction form
    36,348/54,704 = 54,704/x
  3. Step 3: Cross multiply
    36,348x = 54,704 × 54,704
  4. Step 4: Simplify right side
    36,348x = 2,992,527,616
  5. Step 5: Solve for x
    x = 2,992,527,616/36,348
  6. Step 6: Final answer
    x = 82,329.91

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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.