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Finding the Third Proportional to 16,996.31 and 37,390.69

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Solution

The third proportional to 16,996.31 and 37,390.69 is: 82,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,996.31 : 37,390.69 = 37,390.69 : x
  2. Step 2: Convert to fraction form
    16,996.31/37,390.69 = 37,390.69/x
  3. Step 3: Cross multiply
    16,996.31x = 37,390.69 × 37,390.69
  4. Step 4: Simplify right side
    16,996.31x = 1,398,063,511.72
  5. Step 5: Solve for x
    x = 1,398,063,511.72/16,996.31
  6. Step 6: Final answer
    x = 82,256.87

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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.