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Finding the Third Proportional to 27,647 and 41,609

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Solution

The third proportional to 27,647 and 41,609 is: 62,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647 : 41,609 = 41,609 : x
  2. Step 2: Convert to fraction form
    27,647/41,609 = 41,609/x
  3. Step 3: Cross multiply
    27,647x = 41,609 × 41,609
  4. Step 4: Simplify right side
    27,647x = 1,731,308,881
  5. Step 5: Solve for x
    x = 1,731,308,881/27,647
  6. Step 6: Final answer
    x = 62,621.94

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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.