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Finding the Third Proportional to 39,326 and 54,777

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Solution

The third proportional to 39,326 and 54,777 is: 76,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,326 : 54,777 = 54,777 : x
  2. Step 2: Convert to fraction form
    39,326/54,777 = 54,777/x
  3. Step 3: Cross multiply
    39,326x = 54,777 × 54,777
  4. Step 4: Simplify right side
    39,326x = 3,000,519,729
  5. Step 5: Solve for x
    x = 3,000,519,729/39,326
  6. Step 6: Final answer
    x = 76,298.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.