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Finding the Third Proportional to 43,788 and 67,732

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Solution

The third proportional to 43,788 and 67,732 is: 104,768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,788 : 67,732 = 67,732 : x
  2. Step 2: Convert to fraction form
    43,788/67,732 = 67,732/x
  3. Step 3: Cross multiply
    43,788x = 67,732 × 67,732
  4. Step 4: Simplify right side
    43,788x = 4,587,623,824
  5. Step 5: Solve for x
    x = 4,587,623,824/43,788
  6. Step 6: Final answer
    x = 104,768.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.