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Finding the Third Proportional to 36,992 and 52,343

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Solution

The third proportional to 36,992 and 52,343 is: 74,064.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,992 : 52,343 = 52,343 : x
  2. Step 2: Convert to fraction form
    36,992/52,343 = 52,343/x
  3. Step 3: Cross multiply
    36,992x = 52,343 × 52,343
  4. Step 4: Simplify right side
    36,992x = 2,739,789,649
  5. Step 5: Solve for x
    x = 2,739,789,649/36,992
  6. Step 6: Final answer
    x = 74,064.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.