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Finding the Third Proportional to 39,616 and 57,635

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Solution

The third proportional to 39,616 and 57,635 is: 83,849.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,616 : 57,635 = 57,635 : x
  2. Step 2: Convert to fraction form
    39,616/57,635 = 57,635/x
  3. Step 3: Cross multiply
    39,616x = 57,635 × 57,635
  4. Step 4: Simplify right side
    39,616x = 3,321,793,225
  5. Step 5: Solve for x
    x = 3,321,793,225/39,616
  6. Step 6: Final answer
    x = 83,849.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.