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Finding the Third Proportional to 35,786 and 83,183

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Solution

The third proportional to 35,786 and 83,183 is: 193,355.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,786 : 83,183 = 83,183 : x
  2. Step 2: Convert to fraction form
    35,786/83,183 = 83,183/x
  3. Step 3: Cross multiply
    35,786x = 83,183 × 83,183
  4. Step 4: Simplify right side
    35,786x = 6,919,411,489
  5. Step 5: Solve for x
    x = 6,919,411,489/35,786
  6. Step 6: Final answer
    x = 193,355.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.