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Finding the Third Proportional to 35,982 and 84,041

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Solution

The third proportional to 35,982 and 84,041 is: 196,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,982 : 84,041 = 84,041 : x
  2. Step 2: Convert to fraction form
    35,982/84,041 = 84,041/x
  3. Step 3: Cross multiply
    35,982x = 84,041 × 84,041
  4. Step 4: Simplify right side
    35,982x = 7,062,889,681
  5. Step 5: Solve for x
    x = 7,062,889,681/35,982
  6. Step 6: Final answer
    x = 196,289.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.