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Finding the Third Proportional to 17,201.75 and 37,681.75

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Solution

The third proportional to 17,201.75 and 37,681.75 is: 82,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201.75 : 37,681.75 = 37,681.75 : x
  2. Step 2: Convert to fraction form
    17,201.75/37,681.75 = 37,681.75/x
  3. Step 3: Cross multiply
    17,201.75x = 37,681.75 × 37,681.75
  4. Step 4: Simplify right side
    17,201.75x = 1,419,914,283.06
  5. Step 5: Solve for x
    x = 1,419,914,283.06/17,201.75
  6. Step 6: Final answer
    x = 82,544.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.