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Finding the Third Proportional to 1,121.25 and 2,391.38

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Solution

The third proportional to 1,121.25 and 2,391.38 is: 5,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.25 : 2,391.38 = 2,391.38 : x
  2. Step 2: Convert to fraction form
    1,121.25/2,391.38 = 2,391.38/x
  3. Step 3: Cross multiply
    1,121.25x = 2,391.38 × 2,391.38
  4. Step 4: Simplify right side
    1,121.25x = 5,718,674.39
  5. Step 5: Solve for x
    x = 5,718,674.39/1,121.25
  6. Step 6: Final answer
    x = 5,100.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.