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Finding the Third Proportional to 43,573 and 67,317

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Solution

The third proportional to 43,573 and 67,317 is: 103,999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,573 : 67,317 = 67,317 : x
  2. Step 2: Convert to fraction form
    43,573/67,317 = 67,317/x
  3. Step 3: Cross multiply
    43,573x = 67,317 × 67,317
  4. Step 4: Simplify right side
    43,573x = 4,531,578,489
  5. Step 5: Solve for x
    x = 4,531,578,489/43,573
  6. Step 6: Final answer
    x = 103,999.69

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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.