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Finding the Third Proportional to 43,508 and 67,827

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Solution

The third proportional to 43,508 and 67,827 is: 105,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,508 : 67,827 = 67,827 : x
  2. Step 2: Convert to fraction form
    43,508/67,827 = 67,827/x
  3. Step 3: Cross multiply
    43,508x = 67,827 × 67,827
  4. Step 4: Simplify right side
    43,508x = 4,600,501,929
  5. Step 5: Solve for x
    x = 4,600,501,929/43,508
  6. Step 6: Final answer
    x = 105,739.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.