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Finding the Third Proportional to 17,769 and 29,609

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Solution

The third proportional to 17,769 and 29,609 is: 49,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,769 : 29,609 = 29,609 : x
  2. Step 2: Convert to fraction form
    17,769/29,609 = 29,609/x
  3. Step 3: Cross multiply
    17,769x = 29,609 × 29,609
  4. Step 4: Simplify right side
    17,769x = 876,692,881
  5. Step 5: Solve for x
    x = 876,692,881/17,769
  6. Step 6: Final answer
    x = 49,338.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.