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Finding the Third Proportional to 33,009 and 51,165

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Solution

The third proportional to 33,009 and 51,165 is: 79,307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,009 : 51,165 = 51,165 : x
  2. Step 2: Convert to fraction form
    33,009/51,165 = 51,165/x
  3. Step 3: Cross multiply
    33,009x = 51,165 × 51,165
  4. Step 4: Simplify right side
    33,009x = 2,617,857,225
  5. Step 5: Solve for x
    x = 2,617,857,225/33,009
  6. Step 6: Final answer
    x = 79,307.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.