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Finding the Third Proportional to 13,104 and 30,828

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Solution

The third proportional to 13,104 and 30,828 is: 72,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,104 : 30,828 = 30,828 : x
  2. Step 2: Convert to fraction form
    13,104/30,828 = 30,828/x
  3. Step 3: Cross multiply
    13,104x = 30,828 × 30,828
  4. Step 4: Simplify right side
    13,104x = 950,365,584
  5. Step 5: Solve for x
    x = 950,365,584/13,104
  6. Step 6: Final answer
    x = 72,524.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.