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Finding the Third Proportional to 32,314 and 50,775

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Solution

The third proportional to 32,314 and 50,775 is: 79,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,314 : 50,775 = 50,775 : x
  2. Step 2: Convert to fraction form
    32,314/50,775 = 50,775/x
  3. Step 3: Cross multiply
    32,314x = 50,775 × 50,775
  4. Step 4: Simplify right side
    32,314x = 2,578,100,625
  5. Step 5: Solve for x
    x = 2,578,100,625/32,314
  6. Step 6: Final answer
    x = 79,782.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.