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Finding the Third Proportional to 40,584 and 87,204

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Solution

The third proportional to 40,584 and 87,204 is: 187,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,584 : 87,204 = 87,204 : x
  2. Step 2: Convert to fraction form
    40,584/87,204 = 87,204/x
  3. Step 3: Cross multiply
    40,584x = 87,204 × 87,204
  4. Step 4: Simplify right side
    40,584x = 7,604,537,616
  5. Step 5: Solve for x
    x = 7,604,537,616/40,584
  6. Step 6: Final answer
    x = 187,377.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.