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Finding the Third Proportional to 29,170 and 43,744

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Solution

The third proportional to 29,170 and 43,744 is: 65,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,170 : 43,744 = 43,744 : x
  2. Step 2: Convert to fraction form
    29,170/43,744 = 43,744/x
  3. Step 3: Cross multiply
    29,170x = 43,744 × 43,744
  4. Step 4: Simplify right side
    29,170x = 1,913,537,536
  5. Step 5: Solve for x
    x = 1,913,537,536/29,170
  6. Step 6: Final answer
    x = 65,599.50

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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.