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Finding the Third Proportional to 38,460 and 84,204

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Solution

The third proportional to 38,460 and 84,204 is: 184,355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,460 : 84,204 = 84,204 : x
  2. Step 2: Convert to fraction form
    38,460/84,204 = 84,204/x
  3. Step 3: Cross multiply
    38,460x = 84,204 × 84,204
  4. Step 4: Simplify right side
    38,460x = 7,090,313,616
  5. Step 5: Solve for x
    x = 7,090,313,616/38,460
  6. Step 6: Final answer
    x = 184,355.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.