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Finding the Third Proportional to 27,903 and 39,027

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Solution

The third proportional to 27,903 and 39,027 is: 54,585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,903 : 39,027 = 39,027 : x
  2. Step 2: Convert to fraction form
    27,903/39,027 = 39,027/x
  3. Step 3: Cross multiply
    27,903x = 39,027 × 39,027
  4. Step 4: Simplify right side
    27,903x = 1,523,106,729
  5. Step 5: Solve for x
    x = 1,523,106,729/27,903
  6. Step 6: Final answer
    x = 54,585.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.