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Finding the Third Proportional to 17,000 and 36,604

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Solution

The third proportional to 17,000 and 36,604 is: 78,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,000 : 36,604 = 36,604 : x
  2. Step 2: Convert to fraction form
    17,000/36,604 = 36,604/x
  3. Step 3: Cross multiply
    17,000x = 36,604 × 36,604
  4. Step 4: Simplify right side
    17,000x = 1,339,852,816
  5. Step 5: Solve for x
    x = 1,339,852,816/17,000
  6. Step 6: Final answer
    x = 78,814.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.