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Finding the Third Proportional to 39,666 and 54,394

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Solution

The third proportional to 39,666 and 54,394 is: 74,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,666 : 54,394 = 54,394 : x
  2. Step 2: Convert to fraction form
    39,666/54,394 = 54,394/x
  3. Step 3: Cross multiply
    39,666x = 54,394 × 54,394
  4. Step 4: Simplify right side
    39,666x = 2,958,707,236
  5. Step 5: Solve for x
    x = 2,958,707,236/39,666
  6. Step 6: Final answer
    x = 74,590.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.