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Finding the Third Proportional to 17,969 and 29,173

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Solution

The third proportional to 17,969 and 29,173 is: 47,362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969 : 29,173 = 29,173 : x
  2. Step 2: Convert to fraction form
    17,969/29,173 = 29,173/x
  3. Step 3: Cross multiply
    17,969x = 29,173 × 29,173
  4. Step 4: Simplify right side
    17,969x = 851,063,929
  5. Step 5: Solve for x
    x = 851,063,929/17,969
  6. Step 6: Final answer
    x = 47,362.90

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.