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Finding the Third Proportional to 38,469 and 57,704

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Solution

The third proportional to 38,469 and 57,704 is: 86,556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,469 : 57,704 = 57,704 : x
  2. Step 2: Convert to fraction form
    38,469/57,704 = 57,704/x
  3. Step 3: Cross multiply
    38,469x = 57,704 × 57,704
  4. Step 4: Simplify right side
    38,469x = 3,329,751,616
  5. Step 5: Solve for x
    x = 3,329,751,616/38,469
  6. Step 6: Final answer
    x = 86,556.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.