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Finding the Third Proportional to 17,733.94 and 37,837.13

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Solution

The third proportional to 17,733.94 and 37,837.13 is: 80,729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.94 : 37,837.13 = 37,837.13 : x
  2. Step 2: Convert to fraction form
    17,733.94/37,837.13 = 37,837.13/x
  3. Step 3: Cross multiply
    17,733.94x = 37,837.13 × 37,837.13
  4. Step 4: Simplify right side
    17,733.94x = 1,431,648,028.27
  5. Step 5: Solve for x
    x = 1,431,648,028.27/17,733.94
  6. Step 6: Final answer
    x = 80,729.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.