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Finding the Third Proportional to 43,794 and 67,392

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Solution

The third proportional to 43,794 and 67,392 is: 103,705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,794 : 67,392 = 67,392 : x
  2. Step 2: Convert to fraction form
    43,794/67,392 = 67,392/x
  3. Step 3: Cross multiply
    43,794x = 67,392 × 67,392
  4. Step 4: Simplify right side
    43,794x = 4,541,681,664
  5. Step 5: Solve for x
    x = 4,541,681,664/43,794
  6. Step 6: Final answer
    x = 103,705.57

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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.