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Finding the Third Proportional to 17,708 and 27,640

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Solution

The third proportional to 17,708 and 27,640 is: 43,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,708 : 27,640 = 27,640 : x
  2. Step 2: Convert to fraction form
    17,708/27,640 = 27,640/x
  3. Step 3: Cross multiply
    17,708x = 27,640 × 27,640
  4. Step 4: Simplify right side
    17,708x = 763,969,600
  5. Step 5: Solve for x
    x = 763,969,600/17,708
  6. Step 6: Final answer
    x = 43,142.62

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.