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Finding the Third Proportional to 29,741 and 69,399

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Solution

The third proportional to 29,741 and 69,399 is: 161,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,741 : 69,399 = 69,399 : x
  2. Step 2: Convert to fraction form
    29,741/69,399 = 69,399/x
  3. Step 3: Cross multiply
    29,741x = 69,399 × 69,399
  4. Step 4: Simplify right side
    29,741x = 4,816,221,201
  5. Step 5: Solve for x
    x = 4,816,221,201/29,741
  6. Step 6: Final answer
    x = 161,938.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.