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Finding the Third Proportional to 17,971.88 and 37,995.75

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Solution

The third proportional to 17,971.88 and 37,995.75 is: 80,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.88 : 37,995.75 = 37,995.75 : x
  2. Step 2: Convert to fraction form
    17,971.88/37,995.75 = 37,995.75/x
  3. Step 3: Cross multiply
    17,971.88x = 37,995.75 × 37,995.75
  4. Step 4: Simplify right side
    17,971.88x = 1,443,677,018.06
  5. Step 5: Solve for x
    x = 1,443,677,018.06/17,971.88
  6. Step 6: Final answer
    x = 80,329.79

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.