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Finding the Third Proportional to 31,865 and 50,625

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Solution

The third proportional to 31,865 and 50,625 is: 80,429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,865 : 50,625 = 50,625 : x
  2. Step 2: Convert to fraction form
    31,865/50,625 = 50,625/x
  3. Step 3: Cross multiply
    31,865x = 50,625 × 50,625
  4. Step 4: Simplify right side
    31,865x = 2,562,890,625
  5. Step 5: Solve for x
    x = 2,562,890,625/31,865
  6. Step 6: Final answer
    x = 80,429.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.