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Finding the Third Proportional to 27,031 and 55,797

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Solution

The third proportional to 27,031 and 55,797 is: 115,175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,031 : 55,797 = 55,797 : x
  2. Step 2: Convert to fraction form
    27,031/55,797 = 55,797/x
  3. Step 3: Cross multiply
    27,031x = 55,797 × 55,797
  4. Step 4: Simplify right side
    27,031x = 3,113,305,209
  5. Step 5: Solve for x
    x = 3,113,305,209/27,031
  6. Step 6: Final answer
    x = 115,175.36

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.