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Finding the Third Proportional to 17,005 and 36,069

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Solution

The third proportional to 17,005 and 36,069 is: 76,505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,005 : 36,069 = 36,069 : x
  2. Step 2: Convert to fraction form
    17,005/36,069 = 36,069/x
  3. Step 3: Cross multiply
    17,005x = 36,069 × 36,069
  4. Step 4: Simplify right side
    17,005x = 1,300,972,761
  5. Step 5: Solve for x
    x = 1,300,972,761/17,005
  6. Step 6: Final answer
    x = 76,505.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.