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Finding the Third Proportional to 1,161.56 and 2,420.44

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Solution

The third proportional to 1,161.56 and 2,420.44 is: 5,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.56 : 2,420.44 = 2,420.44 : x
  2. Step 2: Convert to fraction form
    1,161.56/2,420.44 = 2,420.44/x
  3. Step 3: Cross multiply
    1,161.56x = 2,420.44 × 2,420.44
  4. Step 4: Simplify right side
    1,161.56x = 5,858,517.69
  5. Step 5: Solve for x
    x = 5,858,517.69/1,161.56
  6. Step 6: Final answer
    x = 5,043.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.