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Finding the Third Proportional to 32,736 and 71,664

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Solution

The third proportional to 32,736 and 71,664 is: 156,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,736 : 71,664 = 71,664 : x
  2. Step 2: Convert to fraction form
    32,736/71,664 = 71,664/x
  3. Step 3: Cross multiply
    32,736x = 71,664 × 71,664
  4. Step 4: Simplify right side
    32,736x = 5,135,728,896
  5. Step 5: Solve for x
    x = 5,135,728,896/32,736
  6. Step 6: Final answer
    x = 156,883.21

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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.