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Finding the Third Proportional to 29,832 and 65,616

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Solution

The third proportional to 29,832 and 65,616 is: 144,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,832 : 65,616 = 65,616 : x
  2. Step 2: Convert to fraction form
    29,832/65,616 = 65,616/x
  3. Step 3: Cross multiply
    29,832x = 65,616 × 65,616
  4. Step 4: Simplify right side
    29,832x = 4,305,459,456
  5. Step 5: Solve for x
    x = 4,305,459,456/29,832
  6. Step 6: Final answer
    x = 144,323.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.