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Finding the Third Proportional to 39,760 and 83,616

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Solution

The third proportional to 39,760 and 83,616 is: 175,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,760 : 83,616 = 83,616 : x
  2. Step 2: Convert to fraction form
    39,760/83,616 = 83,616/x
  3. Step 3: Cross multiply
    39,760x = 83,616 × 83,616
  4. Step 4: Simplify right side
    39,760x = 6,991,635,456
  5. Step 5: Solve for x
    x = 6,991,635,456/39,760
  6. Step 6: Final answer
    x = 175,845.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.