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Finding the Third Proportional to 17,003 and 36,830

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Solution

The third proportional to 17,003 and 36,830 is: 79,777.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,003 : 36,830 = 36,830 : x
  2. Step 2: Convert to fraction form
    17,003/36,830 = 36,830/x
  3. Step 3: Cross multiply
    17,003x = 36,830 × 36,830
  4. Step 4: Simplify right side
    17,003x = 1,356,448,900
  5. Step 5: Solve for x
    x = 1,356,448,900/17,003
  6. Step 6: Final answer
    x = 79,777.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.