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Finding the Third Proportional to 35,172 and 83,027

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Solution

The third proportional to 35,172 and 83,027 is: 195,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,172 : 83,027 = 83,027 : x
  2. Step 2: Convert to fraction form
    35,172/83,027 = 83,027/x
  3. Step 3: Cross multiply
    35,172x = 83,027 × 83,027
  4. Step 4: Simplify right side
    35,172x = 6,893,482,729
  5. Step 5: Solve for x
    x = 6,893,482,729/35,172
  6. Step 6: Final answer
    x = 195,993.48

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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.