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Finding the Third Proportional to 7,791.50 and 17,223.26

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Solution

The third proportional to 7,791.50 and 17,223.26 is: 38,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.50 : 17,223.26 = 17,223.26 : x
  2. Step 2: Convert to fraction form
    7,791.50/17,223.26 = 17,223.26/x
  3. Step 3: Cross multiply
    7,791.50x = 17,223.26 × 17,223.26
  4. Step 4: Simplify right side
    7,791.50x = 296,640,609.68
  5. Step 5: Solve for x
    x = 296,640,609.68/7,791.50
  6. Step 6: Final answer
    x = 38,072.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.