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Finding the Third Proportional to 17,696 and 27,620

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Solution

The third proportional to 17,696 and 27,620 is: 43,109.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696 : 27,620 = 27,620 : x
  2. Step 2: Convert to fraction form
    17,696/27,620 = 27,620/x
  3. Step 3: Cross multiply
    17,696x = 27,620 × 27,620
  4. Step 4: Simplify right side
    17,696x = 762,864,400
  5. Step 5: Solve for x
    x = 762,864,400/17,696
  6. Step 6: Final answer
    x = 43,109.43

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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.