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Finding the Third Proportional to 36,846 and 50,031

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Solution

The third proportional to 36,846 and 50,031 is: 67,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,846 : 50,031 = 50,031 : x
  2. Step 2: Convert to fraction form
    36,846/50,031 = 50,031/x
  3. Step 3: Cross multiply
    36,846x = 50,031 × 50,031
  4. Step 4: Simplify right side
    36,846x = 2,503,100,961
  5. Step 5: Solve for x
    x = 2,503,100,961/36,846
  6. Step 6: Final answer
    x = 67,934.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.