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Finding the Third Proportional to 27,345 and 41,847

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Solution

The third proportional to 27,345 and 41,847 is: 64,039.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,345 : 41,847 = 41,847 : x
  2. Step 2: Convert to fraction form
    27,345/41,847 = 41,847/x
  3. Step 3: Cross multiply
    27,345x = 41,847 × 41,847
  4. Step 4: Simplify right side
    27,345x = 1,751,171,409
  5. Step 5: Solve for x
    x = 1,751,171,409/27,345
  6. Step 6: Final answer
    x = 64,039.91

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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.