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Finding the Third Proportional to 35,676 and 84,366

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Solution

The third proportional to 35,676 and 84,366 is: 199,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,676 : 84,366 = 84,366 : x
  2. Step 2: Convert to fraction form
    35,676/84,366 = 84,366/x
  3. Step 3: Cross multiply
    35,676x = 84,366 × 84,366
  4. Step 4: Simplify right side
    35,676x = 7,117,621,956
  5. Step 5: Solve for x
    x = 7,117,621,956/35,676
  6. Step 6: Final answer
    x = 199,507.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.