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Finding the Third Proportional to 8,173.69 and 17,328.38

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Solution

The third proportional to 8,173.69 and 17,328.38 is: 36,736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173.69 : 17,328.38 = 17,328.38 : x
  2. Step 2: Convert to fraction form
    8,173.69/17,328.38 = 17,328.38/x
  3. Step 3: Cross multiply
    8,173.69x = 17,328.38 × 17,328.38
  4. Step 4: Simplify right side
    8,173.69x = 300,272,580.14
  5. Step 5: Solve for x
    x = 300,272,580.14/8,173.69
  6. Step 6: Final answer
    x = 36,736.49

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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.