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Finding the Third Proportional to 39,616 and 84,320

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Solution

The third proportional to 39,616 and 84,320 is: 179,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,616 : 84,320 = 84,320 : x
  2. Step 2: Convert to fraction form
    39,616/84,320 = 84,320/x
  3. Step 3: Cross multiply
    39,616x = 84,320 × 84,320
  4. Step 4: Simplify right side
    39,616x = 7,109,862,400
  5. Step 5: Solve for x
    x = 7,109,862,400/39,616
  6. Step 6: Final answer
    x = 179,469.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.