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Finding the Third Proportional to 17,209.69 and 36,469.69

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Solution

The third proportional to 17,209.69 and 36,469.69 is: 77,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,209.69 : 36,469.69 = 36,469.69 : x
  2. Step 2: Convert to fraction form
    17,209.69/36,469.69 = 36,469.69/x
  3. Step 3: Cross multiply
    17,209.69x = 36,469.69 × 36,469.69
  4. Step 4: Simplify right side
    17,209.69x = 1,330,038,106.35
  5. Step 5: Solve for x
    x = 1,330,038,106.35/17,209.69
  6. Step 6: Final answer
    x = 77,284.27

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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.