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Finding the Third Proportional to 30,214 and 64,027

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Solution

The third proportional to 30,214 and 64,027 is: 135,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214 : 64,027 = 64,027 : x
  2. Step 2: Convert to fraction form
    30,214/64,027 = 64,027/x
  3. Step 3: Cross multiply
    30,214x = 64,027 × 64,027
  4. Step 4: Simplify right side
    30,214x = 4,099,456,729
  5. Step 5: Solve for x
    x = 4,099,456,729/30,214
  6. Step 6: Final answer
    x = 135,680.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.