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Finding the Third Proportional to 17,842.25 and 38,425.25

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Solution

The third proportional to 17,842.25 and 38,425.25 is: 82,753.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.25 : 38,425.25 = 38,425.25 : x
  2. Step 2: Convert to fraction form
    17,842.25/38,425.25 = 38,425.25/x
  3. Step 3: Cross multiply
    17,842.25x = 38,425.25 × 38,425.25
  4. Step 4: Simplify right side
    17,842.25x = 1,476,499,837.56
  5. Step 5: Solve for x
    x = 1,476,499,837.56/17,842.25
  6. Step 6: Final answer
    x = 82,753.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.