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Finding the Third Proportional to 36,723 and 75,620

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Solution

The third proportional to 36,723 and 75,620 is: 155,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,723 : 75,620 = 75,620 : x
  2. Step 2: Convert to fraction form
    36,723/75,620 = 75,620/x
  3. Step 3: Cross multiply
    36,723x = 75,620 × 75,620
  4. Step 4: Simplify right side
    36,723x = 5,718,384,400
  5. Step 5: Solve for x
    x = 5,718,384,400/36,723
  6. Step 6: Final answer
    x = 155,716.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.