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Finding the Third Proportional to 7,940 and 17,906

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Solution

The third proportional to 7,940 and 17,906 is: 40,380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940 : 17,906 = 17,906 : x
  2. Step 2: Convert to fraction form
    7,940/17,906 = 17,906/x
  3. Step 3: Cross multiply
    7,940x = 17,906 × 17,906
  4. Step 4: Simplify right side
    7,940x = 320,624,836
  5. Step 5: Solve for x
    x = 320,624,836/7,940
  6. Step 6: Final answer
    x = 40,380.96

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.