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Finding the Third Proportional to 29,576 and 44,259

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Solution

The third proportional to 29,576 and 44,259 is: 66,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,576 : 44,259 = 44,259 : x
  2. Step 2: Convert to fraction form
    29,576/44,259 = 44,259/x
  3. Step 3: Cross multiply
    29,576x = 44,259 × 44,259
  4. Step 4: Simplify right side
    29,576x = 1,958,859,081
  5. Step 5: Solve for x
    x = 1,958,859,081/29,576
  6. Step 6: Final answer
    x = 66,231.37

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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.