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Finding the Third Proportional to 19,634 and 30,027

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Solution

The third proportional to 19,634 and 30,027 is: 45,921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,634 : 30,027 = 30,027 : x
  2. Step 2: Convert to fraction form
    19,634/30,027 = 30,027/x
  3. Step 3: Cross multiply
    19,634x = 30,027 × 30,027
  4. Step 4: Simplify right side
    19,634x = 901,620,729
  5. Step 5: Solve for x
    x = 901,620,729/19,634
  6. Step 6: Final answer
    x = 45,921.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.