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Finding the Third Proportional to 17,425.50 and 37,893

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Solution

The third proportional to 17,425.50 and 37,893 is: 82,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,425.50 : 37,893 = 37,893 : x
  2. Step 2: Convert to fraction form
    17,425.50/37,893 = 37,893/x
  3. Step 3: Cross multiply
    17,425.50x = 37,893 × 37,893
  4. Step 4: Simplify right side
    17,425.50x = 1,435,879,449
  5. Step 5: Solve for x
    x = 1,435,879,449/17,425.50
  6. Step 6: Final answer
    x = 82,401.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.