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Finding the Third Proportional to 7,670 and 17,867

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Solution

The third proportional to 7,670 and 17,867 is: 41,620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670 : 17,867 = 17,867 : x
  2. Step 2: Convert to fraction form
    7,670/17,867 = 17,867/x
  3. Step 3: Cross multiply
    7,670x = 17,867 × 17,867
  4. Step 4: Simplify right side
    7,670x = 319,229,689
  5. Step 5: Solve for x
    x = 319,229,689/7,670
  6. Step 6: Final answer
    x = 41,620.56

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.