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Finding the Third Proportional to 43,571 and 67,314

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Solution

The third proportional to 43,571 and 67,314 is: 103,995.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,571 : 67,314 = 67,314 : x
  2. Step 2: Convert to fraction form
    43,571/67,314 = 67,314/x
  3. Step 3: Cross multiply
    43,571x = 67,314 × 67,314
  4. Step 4: Simplify right side
    43,571x = 4,531,174,596
  5. Step 5: Solve for x
    x = 4,531,174,596/43,571
  6. Step 6: Final answer
    x = 103,995.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.