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Finding the Third Proportional to 13,031 and 20,165

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Solution

The third proportional to 13,031 and 20,165 is: 31,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031 : 20,165 = 20,165 : x
  2. Step 2: Convert to fraction form
    13,031/20,165 = 20,165/x
  3. Step 3: Cross multiply
    13,031x = 20,165 × 20,165
  4. Step 4: Simplify right side
    13,031x = 406,627,225
  5. Step 5: Solve for x
    x = 406,627,225/13,031
  6. Step 6: Final answer
    x = 31,204.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.