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Finding the Third Proportional to 31,203.50 and 50,267

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Solution

The third proportional to 31,203.50 and 50,267 is: 80,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203.50 : 50,267 = 50,267 : x
  2. Step 2: Convert to fraction form
    31,203.50/50,267 = 50,267/x
  3. Step 3: Cross multiply
    31,203.50x = 50,267 × 50,267
  4. Step 4: Simplify right side
    31,203.50x = 2,526,771,289
  5. Step 5: Solve for x
    x = 2,526,771,289/31,203.50
  6. Step 6: Final answer
    x = 80,977.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.