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Finding the Third Proportional to 17,656 and 38,822

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Solution

The third proportional to 17,656 and 38,822 is: 85,361.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656 : 38,822 = 38,822 : x
  2. Step 2: Convert to fraction form
    17,656/38,822 = 38,822/x
  3. Step 3: Cross multiply
    17,656x = 38,822 × 38,822
  4. Step 4: Simplify right side
    17,656x = 1,507,147,684
  5. Step 5: Solve for x
    x = 1,507,147,684/17,656
  6. Step 6: Final answer
    x = 85,361.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.