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Finding the Third Proportional to 27,031 and 43,182

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Solution

The third proportional to 27,031 and 43,182 is: 68,983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,031 : 43,182 = 43,182 : x
  2. Step 2: Convert to fraction form
    27,031/43,182 = 43,182/x
  3. Step 3: Cross multiply
    27,031x = 43,182 × 43,182
  4. Step 4: Simplify right side
    27,031x = 1,864,685,124
  5. Step 5: Solve for x
    x = 1,864,685,124/27,031
  6. Step 6: Final answer
    x = 68,983.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.