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Finding the Third Proportional to 37,723 and 79,577

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Solution

The third proportional to 37,723 and 79,577 is: 167,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,723 : 79,577 = 79,577 : x
  2. Step 2: Convert to fraction form
    37,723/79,577 = 79,577/x
  3. Step 3: Cross multiply
    37,723x = 79,577 × 79,577
  4. Step 4: Simplify right side
    37,723x = 6,332,498,929
  5. Step 5: Solve for x
    x = 6,332,498,929/37,723
  6. Step 6: Final answer
    x = 167,868.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.