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Finding the Third Proportional to 36,272 and 52,831

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Solution

The third proportional to 36,272 and 52,831 is: 76,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,272 : 52,831 = 52,831 : x
  2. Step 2: Convert to fraction form
    36,272/52,831 = 52,831/x
  3. Step 3: Cross multiply
    36,272x = 52,831 × 52,831
  4. Step 4: Simplify right side
    36,272x = 2,791,114,561
  5. Step 5: Solve for x
    x = 2,791,114,561/36,272
  6. Step 6: Final answer
    x = 76,949.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.