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Finding the Third Proportional to 43,784 and 94,912

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Solution

The third proportional to 43,784 and 94,912 is: 205,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,784 : 94,912 = 94,912 : x
  2. Step 2: Convert to fraction form
    43,784/94,912 = 94,912/x
  3. Step 3: Cross multiply
    43,784x = 94,912 × 94,912
  4. Step 4: Simplify right side
    43,784x = 9,008,287,744
  5. Step 5: Solve for x
    x = 9,008,287,744/43,784
  6. Step 6: Final answer
    x = 205,743.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.