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Finding the Third Proportional to 27,170 and 41,562

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Solution

The third proportional to 27,170 and 41,562 is: 63,577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,170 : 41,562 = 41,562 : x
  2. Step 2: Convert to fraction form
    27,170/41,562 = 41,562/x
  3. Step 3: Cross multiply
    27,170x = 41,562 × 41,562
  4. Step 4: Simplify right side
    27,170x = 1,727,399,844
  5. Step 5: Solve for x
    x = 1,727,399,844/27,170
  6. Step 6: Final answer
    x = 63,577.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.