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Finding the Third Proportional to 1,119.38 and 2,441.11

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Solution

The third proportional to 1,119.38 and 2,441.11 is: 5,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.38 : 2,441.11 = 2,441.11 : x
  2. Step 2: Convert to fraction form
    1,119.38/2,441.11 = 2,441.11/x
  3. Step 3: Cross multiply
    1,119.38x = 2,441.11 × 2,441.11
  4. Step 4: Simplify right side
    1,119.38x = 5,959,014.98
  5. Step 5: Solve for x
    x = 5,959,014.98/1,119.38
  6. Step 6: Final answer
    x = 5,323.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.