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Finding the Third Proportional to 17,982 and 39,507.75

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Solution

The third proportional to 17,982 and 39,507.75 is: 86,801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,982 : 39,507.75 = 39,507.75 : x
  2. Step 2: Convert to fraction form
    17,982/39,507.75 = 39,507.75/x
  3. Step 3: Cross multiply
    17,982x = 39,507.75 × 39,507.75
  4. Step 4: Simplify right side
    17,982x = 1,560,862,310.06
  5. Step 5: Solve for x
    x = 1,560,862,310.06/17,982
  6. Step 6: Final answer
    x = 86,801.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.