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Finding the Third Proportional to 17,847.75 and 38,872.25

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Solution

The third proportional to 17,847.75 and 38,872.25 is: 84,663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.75 : 38,872.25 = 38,872.25 : x
  2. Step 2: Convert to fraction form
    17,847.75/38,872.25 = 38,872.25/x
  3. Step 3: Cross multiply
    17,847.75x = 38,872.25 × 38,872.25
  4. Step 4: Simplify right side
    17,847.75x = 1,511,051,820.06
  5. Step 5: Solve for x
    x = 1,511,051,820.06/17,847.75
  6. Step 6: Final answer
    x = 84,663.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.