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Finding the Third Proportional to 17,771.50 and 41,141.50

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Solution

The third proportional to 17,771.50 and 41,141.50 is: 95,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.50 : 41,141.50 = 41,141.50 : x
  2. Step 2: Convert to fraction form
    17,771.50/41,141.50 = 41,141.50/x
  3. Step 3: Cross multiply
    17,771.50x = 41,141.50 × 41,141.50
  4. Step 4: Simplify right side
    17,771.50x = 1,692,623,022.25
  5. Step 5: Solve for x
    x = 1,692,623,022.25/17,771.50
  6. Step 6: Final answer
    x = 95,243.68

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.