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Finding the Third Proportional to 1,441.97 and 3,220.59

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Solution

The third proportional to 1,441.97 and 3,220.59 is: 7,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.97 : 3,220.59 = 3,220.59 : x
  2. Step 2: Convert to fraction form
    1,441.97/3,220.59 = 3,220.59/x
  3. Step 3: Cross multiply
    1,441.97x = 3,220.59 × 3,220.59
  4. Step 4: Simplify right side
    1,441.97x = 10,372,224.10
  5. Step 5: Solve for x
    x = 10,372,224.10/1,441.97
  6. Step 6: Final answer
    x = 7,193.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.