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Finding the Third Proportional to 10,185 and 21,027

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Solution

The third proportional to 10,185 and 21,027 is: 43,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185 : 21,027 = 21,027 : x
  2. Step 2: Convert to fraction form
    10,185/21,027 = 21,027/x
  3. Step 3: Cross multiply
    10,185x = 21,027 × 21,027
  4. Step 4: Simplify right side
    10,185x = 442,134,729
  5. Step 5: Solve for x
    x = 442,134,729/10,185
  6. Step 6: Final answer
    x = 43,410.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.