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Finding the Third Proportional to 17,581.22 and 38,500.31

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Solution

The third proportional to 17,581.22 and 38,500.31 is: 84,310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,581.22 : 38,500.31 = 38,500.31 : x
  2. Step 2: Convert to fraction form
    17,581.22/38,500.31 = 38,500.31/x
  3. Step 3: Cross multiply
    17,581.22x = 38,500.31 × 38,500.31
  4. Step 4: Simplify right side
    17,581.22x = 1,482,274,062.60
  5. Step 5: Solve for x
    x = 1,482,274,062.60/17,581.22
  6. Step 6: Final answer
    x = 84,310.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.