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Finding the Third Proportional to 17,825.50 and 37,945

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Solution

The third proportional to 17,825.50 and 37,945 is: 80,773.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.50 : 37,945 = 37,945 : x
  2. Step 2: Convert to fraction form
    17,825.50/37,945 = 37,945/x
  3. Step 3: Cross multiply
    17,825.50x = 37,945 × 37,945
  4. Step 4: Simplify right side
    17,825.50x = 1,439,823,025
  5. Step 5: Solve for x
    x = 1,439,823,025/17,825.50
  6. Step 6: Final answer
    x = 80,773.22

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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.