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Finding the Third Proportional to 27,646 and 37,831

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Solution

The third proportional to 27,646 and 37,831 is: 51,768.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,646 : 37,831 = 37,831 : x
  2. Step 2: Convert to fraction form
    27,646/37,831 = 37,831/x
  3. Step 3: Cross multiply
    27,646x = 37,831 × 37,831
  4. Step 4: Simplify right side
    27,646x = 1,431,184,561
  5. Step 5: Solve for x
    x = 1,431,184,561/27,646
  6. Step 6: Final answer
    x = 51,768.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.