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Finding the Third Proportional to 17,714.67 and 38,884.92

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Solution

The third proportional to 17,714.67 and 38,884.92 is: 85,355.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.67 : 38,884.92 = 38,884.92 : x
  2. Step 2: Convert to fraction form
    17,714.67/38,884.92 = 38,884.92/x
  3. Step 3: Cross multiply
    17,714.67x = 38,884.92 × 38,884.92
  4. Step 4: Simplify right side
    17,714.67x = 1,512,037,149.22
  5. Step 5: Solve for x
    x = 1,512,037,149.22/17,714.67
  6. Step 6: Final answer
    x = 85,355.08

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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.