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Finding the Third Proportional to 27,471 and 41,733

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Solution

The third proportional to 27,471 and 41,733 is: 63,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471 : 41,733 = 41,733 : x
  2. Step 2: Convert to fraction form
    27,471/41,733 = 41,733/x
  3. Step 3: Cross multiply
    27,471x = 41,733 × 41,733
  4. Step 4: Simplify right side
    27,471x = 1,741,643,289
  5. Step 5: Solve for x
    x = 1,741,643,289/27,471
  6. Step 6: Final answer
    x = 63,399.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.