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Finding the Third Proportional to 17,696 and 39,168

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Solution

The third proportional to 17,696 and 39,168 is: 86,693.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696 : 39,168 = 39,168 : x
  2. Step 2: Convert to fraction form
    17,696/39,168 = 39,168/x
  3. Step 3: Cross multiply
    17,696x = 39,168 × 39,168
  4. Step 4: Simplify right side
    17,696x = 1,534,132,224
  5. Step 5: Solve for x
    x = 1,534,132,224/17,696
  6. Step 6: Final answer
    x = 86,693.73

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.