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Finding the Third Proportional to 40,584 and 93,204

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Solution

The third proportional to 40,584 and 93,204 is: 214,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,584 : 93,204 = 93,204 : x
  2. Step 2: Convert to fraction form
    40,584/93,204 = 93,204/x
  3. Step 3: Cross multiply
    40,584x = 93,204 × 93,204
  4. Step 4: Simplify right side
    40,584x = 8,686,985,616
  5. Step 5: Solve for x
    x = 8,686,985,616/40,584
  6. Step 6: Final answer
    x = 214,049.52

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.