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Finding the Third Proportional to 29,566 and 44,232

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Solution

The third proportional to 29,566 and 44,232 is: 66,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,566 : 44,232 = 44,232 : x
  2. Step 2: Convert to fraction form
    29,566/44,232 = 44,232/x
  3. Step 3: Cross multiply
    29,566x = 44,232 × 44,232
  4. Step 4: Simplify right side
    29,566x = 1,956,469,824
  5. Step 5: Solve for x
    x = 1,956,469,824/29,566
  6. Step 6: Final answer
    x = 66,172.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.