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Finding the Third Proportional to 27,647 and 41,670

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Solution

The third proportional to 27,647 and 41,670 is: 62,805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647 : 41,670 = 41,670 : x
  2. Step 2: Convert to fraction form
    27,647/41,670 = 41,670/x
  3. Step 3: Cross multiply
    27,647x = 41,670 × 41,670
  4. Step 4: Simplify right side
    27,647x = 1,736,388,900
  5. Step 5: Solve for x
    x = 1,736,388,900/27,647
  6. Step 6: Final answer
    x = 62,805.69

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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.